Receiving Helpdesk

whats the greatest common factor of 10 and 25

by Mathew Nitzsche Published 3 years ago Updated 3 years ago

5

What are the common factors of 25 and 10?

Greatest common factor (GCF) of 10 and 25 is 5.

What is the LCM and HCF of 25 and 10?

The LCM of 10 and 25 is 50. To find the LCM (least common multiple) of 10 and 25, we need to find the multiples of 10 and 25 (multiples of 10 = 10, 20, 30, 40 . . . .

What GCF 10?

To calculate the greatest common factor (GCF) of 10 and 15, we need to factor each number (factors of 10 = 1, 2, 5, 10; factors of 15 = 1, 3, 5, 15) and choose the greatest factor that exactly divides both 10 and 15, i.e., 5.

How do you find the GCF of 25?

The GCF of 25 and 100 is 25. To calculate the GCF of 25 and 100, we need to factor each number (factors of 25 = 1, 5, 25; factors of 100 = 1, 2, 4, 5, 10, 20, 25, 50, 100) and choose the greatest factor that exactly divides both 25 and 100, i.e., 25.

Whats the LCM for 10 and 25?

50The LCM of 10 and 25 is 50.

How do you find the LCM and GCF?

3:054:31Find The LCM AND GCF - YouTubeYouTubeStart of suggested clipEnd of suggested clipAnd then multiply all of the numbers that lie within our letter L. So to find the LCM. We are goingMoreAnd then multiply all of the numbers that lie within our letter L. So to find the LCM. We are going to multiply 12 times 2 times 3.

What are the factors of 25?

Factors of 25: 1, 5 and 25.

What is the GCF of 10 and 24?

Greatest common factor (GCF) of 10 and 24 is 2.

How do you find the LCM of 25?

0:491:35LCM of 15 and 25 - YouTubeYouTubeStart of suggested clipEnd of suggested clipAnd we need to do one last thing that is lcm of 15 and 25 is equals to multiply whatever you have onMoreAnd we need to do one last thing that is lcm of 15 and 25 is equals to multiply whatever you have on the left hand side that is 3 cross 5 cross. 5 the answer will be 25 3's are 75.

How do you do GCF?

The greatest common factor is the greatest factor that divides both numbers. To find the greatest common factor, first list the prime factors of each number. 18 and 24 share one 2 and one 3 in common. We multiply them to get the GCF, so 2 * 3 = 6 is the GCF of 18 and 24.

How do you factor using GCF?

Factoring out the greatest common factor (GCF) To factor the GCF out of a polynomial, we do the following: Find the GCF of all the terms in the polynomial. Express each term as a product of the GCF and another factor. Use the distributive property to factor out the GCF.

What is the fastest way to find the GCF?

0:0610:28How To Find The Greatest Common Factor Quickly! - YouTubeYouTubeStart of suggested clipEnd of suggested clipNow once you have the prime factorization of each number notice the common prime numbers that areMoreNow once you have the prime factorization of each number notice the common prime numbers that are present. So 5 goes into 15 and 35. So 5 is a factor of 15 and 35.

Popular Posts:

  • 1. what is the meaning of the poem how do i love thee
  • 2. cups to grams flour
  • 3. how do you sleep face down after retinal surgery
  • 4. how many pounds of grass seed do i need for 1 acre
  • 5. vocal y consonante en inglés
  • 6. what is the prototype drug for benzodiazepine
  • 7. taking 2 aleve is safe
  • 8. comutador
  • 9. street legal side by side vehicles
  • 10. what is the meaning of dvd rw in computer
    • A B C D E F G H I J K L M N O P Q R S T U V W X Y Z 1 2 3 4 5 6 7 8 9
    Messages15TimelineExceptionsViews7RouteQueries7Models15Livewire0MailsGateSessionRequest
    8.3.21PHP Version339msRequest Duration2MBMemory UsageGET {post}Route
    • warninglog[16:37:04] LOG.warning: Creation of dynamic property Barryvdh\Debugbar\DataFormatter\QueryFormatter:...
    • warninglog[16:37:04] LOG.warning: Creation of dynamic property Barryvdh\Debugbar\DataFormatter\QueryFormatter:...
    • warninglog[16:37:04] LOG.warning: Callables of the form ["Swift_SmtpTransport", "Swift_Transport_EsmtpTranspor...
    • warninglog[16:37:04] LOG.warning: Creation of dynamic property Barryvdh\Debugbar\DataFormatter\SimpleFormatter...
    • warninglog[16:37:04] LOG.warning: Creation of dynamic property Barryvdh\Debugbar\DataFormatter\SimpleFormatter...
    • warninglog[16:37:04] LOG.warning: json_decode(): Passing null to parameter #1 ($json) of type string is deprec...
    • warninglog[16:37:04] LOG.warning: json_decode(): Passing null to parameter #1 ($json) of type string is deprec...
    • warninglog[16:37:04] LOG.warning: json_decode(): Passing null to parameter #1 ($json) of type string is deprec...
    • warninglog[16:37:04] LOG.warning: json_decode(): Passing null to parameter #1 ($json) of type string is deprec...
    • warninglog[16:37:04] LOG.warning: json_decode(): Passing null to parameter #1 ($json) of type string is deprec...
    • warninglog[16:37:04] LOG.warning: json_decode(): Passing null to parameter #1 ($json) of type string is deprec...
    • warninglog[16:37:04] LOG.warning: json_decode(): Passing null to parameter #1 ($json) of type string is deprec...
    • warninglog[16:37:04] LOG.warning: json_decode(): Passing null to parameter #1 ($json) of type string is deprec...
    • warninglog[16:37:04] LOG.warning: json_decode(): Passing null to parameter #1 ($json) of type string is deprec...
    • warninglog[16:37:04] LOG.warning: explode(): Passing null to parameter #2 ($string) of type string is deprecat...
    warning
    • Booting (12.11ms)
    • Application (326ms)
    • 1 x Application (96.32%)
      326.28ms
      1 x Booting (3.58%)
      12.11ms
      7 templates were rendered
      • themes.DevBlog.content.post (resources/views/themes/DevBlog/content/post.blade.php)34blade
        Params
        0
        post
        1
        postContent
        2
        author
        3
        updated_at
        4
        bing_rich_snippet_text
        5
        bing_rich_snippet_link
        6
        bing_related_keywords
        7
        google_related_keywords
        8
        bing_news_title
        9
        bing_news_description
        10
        bing_videos
        11
        bing_images
        12
        bing_search_result_title
        13
        bing_search_result_description
        14
        bing_search_result_url
        15
        bing_paa_questions
        16
        bing_paa_answers
        17
        bing_slider_faq_questions
        18
        bing_slider_faq_answers
        19
        bing_pop_faq_questions
        20
        bing_pop_faq_answers
        21
        bing_tab_faq_questions
        22
        bing_tab_faq_answers
        23
        google_faq_questions
        24
        google_faq_answers
        25
        google_rich_snippet
        26
        google_search_result
        27
        indexedArray
        28
        total_images
        29
        total_videos
        30
        settings
        31
        url_current
        32
        menus
        33
        sidebar
      • themes.DevBlog.layouts.master (resources/views/themes/DevBlog/layouts/master.blade.php)41blade
        Params
        0
        __env
        1
        app
        2
        errors
        3
        post
        4
        postContent
        5
        author
        6
        updated_at
        7
        bing_rich_snippet_text
        8
        bing_rich_snippet_link
        9
        bing_related_keywords
        10
        google_related_keywords
        11
        bing_news_title
        12
        bing_news_description
        13
        bing_videos
        14
        bing_images
        15
        bing_search_result_title
        16
        bing_search_result_description
        17
        bing_search_result_url
        18
        bing_paa_questions
        19
        bing_paa_answers
        20
        bing_slider_faq_questions
        21
        bing_slider_faq_answers
        22
        bing_pop_faq_questions
        23
        bing_pop_faq_answers
        24
        bing_tab_faq_questions
        25
        bing_tab_faq_answers
        26
        google_faq_questions
        27
        google_faq_answers
        28
        google_rich_snippet
        29
        google_search_result
        30
        indexedArray
        31
        total_images
        32
        total_videos
        33
        settings
        34
        url_current
        35
        menus
        36
        sidebar
        37
        i
        38
        __currentLoopData
        39
        loop
        40
        item
      • themes.DevBlog.panels.head (resources/views/themes/DevBlog/panels/head.blade.php)41blade
        Params
        0
        __env
        1
        app
        2
        errors
        3
        post
        4
        postContent
        5
        author
        6
        updated_at
        7
        bing_rich_snippet_text
        8
        bing_rich_snippet_link
        9
        bing_related_keywords
        10
        google_related_keywords
        11
        bing_news_title
        12
        bing_news_description
        13
        bing_videos
        14
        bing_images
        15
        bing_search_result_title
        16
        bing_search_result_description
        17
        bing_search_result_url
        18
        bing_paa_questions
        19
        bing_paa_answers
        20
        bing_slider_faq_questions
        21
        bing_slider_faq_answers
        22
        bing_pop_faq_questions
        23
        bing_pop_faq_answers
        24
        bing_tab_faq_questions
        25
        bing_tab_faq_answers
        26
        google_faq_questions
        27
        google_faq_answers
        28
        google_rich_snippet
        29
        google_search_result
        30
        indexedArray
        31
        total_images
        32
        total_videos
        33
        settings
        34
        url_current
        35
        menus
        36
        sidebar
        37
        i
        38
        __currentLoopData
        39
        loop
        40
        item
      • themes.DevBlog.panels.header (resources/views/themes/DevBlog/panels/header.blade.php)41blade
        Params
        0
        __env
        1
        app
        2
        errors
        3
        post
        4
        postContent
        5
        author
        6
        updated_at
        7
        bing_rich_snippet_text
        8
        bing_rich_snippet_link
        9
        bing_related_keywords
        10
        google_related_keywords
        11
        bing_news_title
        12
        bing_news_description
        13
        bing_videos
        14
        bing_images
        15
        bing_search_result_title
        16
        bing_search_result_description
        17
        bing_search_result_url
        18
        bing_paa_questions
        19
        bing_paa_answers
        20
        bing_slider_faq_questions
        21
        bing_slider_faq_answers
        22
        bing_pop_faq_questions
        23
        bing_pop_faq_answers
        24
        bing_tab_faq_questions
        25
        bing_tab_faq_answers
        26
        google_faq_questions
        27
        google_faq_answers
        28
        google_rich_snippet
        29
        google_search_result
        30
        indexedArray
        31
        total_images
        32
        total_videos
        33
        settings
        34
        url_current
        35
        menus
        36
        sidebar
        37
        i
        38
        __currentLoopData
        39
        loop
        40
        item
      • themes.DevBlog.panels.navbar (resources/views/themes/DevBlog/panels/navbar.blade.php)41blade
        Params
        0
        __env
        1
        app
        2
        errors
        3
        post
        4
        postContent
        5
        author
        6
        updated_at
        7
        bing_rich_snippet_text
        8
        bing_rich_snippet_link
        9
        bing_related_keywords
        10
        google_related_keywords
        11
        bing_news_title
        12
        bing_news_description
        13
        bing_videos
        14
        bing_images
        15
        bing_search_result_title
        16
        bing_search_result_description
        17
        bing_search_result_url
        18
        bing_paa_questions
        19
        bing_paa_answers
        20
        bing_slider_faq_questions
        21
        bing_slider_faq_answers
        22
        bing_pop_faq_questions
        23
        bing_pop_faq_answers
        24
        bing_tab_faq_questions
        25
        bing_tab_faq_answers
        26
        google_faq_questions
        27
        google_faq_answers
        28
        google_rich_snippet
        29
        google_search_result
        30
        indexedArray
        31
        total_images
        32
        total_videos
        33
        settings
        34
        url_current
        35
        menus
        36
        sidebar
        37
        i
        38
        __currentLoopData
        39
        loop
        40
        item
      • themes.DevBlog.panels.footer (resources/views/themes/DevBlog/panels/footer.blade.php)41blade
        Params
        0
        __env
        1
        app
        2
        errors
        3
        post
        4
        postContent
        5
        author
        6
        updated_at
        7
        bing_rich_snippet_text
        8
        bing_rich_snippet_link
        9
        bing_related_keywords
        10
        google_related_keywords
        11
        bing_news_title
        12
        bing_news_description
        13
        bing_videos
        14
        bing_images
        15
        bing_search_result_title
        16
        bing_search_result_description
        17
        bing_search_result_url
        18
        bing_paa_questions
        19
        bing_paa_answers
        20
        bing_slider_faq_questions
        21
        bing_slider_faq_answers
        22
        bing_pop_faq_questions
        23
        bing_pop_faq_answers
        24
        bing_tab_faq_questions
        25
        bing_tab_faq_answers
        26
        google_faq_questions
        27
        google_faq_answers
        28
        google_rich_snippet
        29
        google_search_result
        30
        indexedArray
        31
        total_images
        32
        total_videos
        33
        settings
        34
        url_current
        35
        menus
        36
        sidebar
        37
        i
        38
        __currentLoopData
        39
        loop
        40
        item
      • themes.DevBlog.panels.scripts (resources/views/themes/DevBlog/panels/scripts.blade.php)41blade
        Params
        0
        __env
        1
        app
        2
        errors
        3
        post
        4
        postContent
        5
        author
        6
        updated_at
        7
        bing_rich_snippet_text
        8
        bing_rich_snippet_link
        9
        bing_related_keywords
        10
        google_related_keywords
        11
        bing_news_title
        12
        bing_news_description
        13
        bing_videos
        14
        bing_images
        15
        bing_search_result_title
        16
        bing_search_result_description
        17
        bing_search_result_url
        18
        bing_paa_questions
        19
        bing_paa_answers
        20
        bing_slider_faq_questions
        21
        bing_slider_faq_answers
        22
        bing_pop_faq_questions
        23
        bing_pop_faq_answers
        24
        bing_tab_faq_questions
        25
        bing_tab_faq_answers
        26
        google_faq_questions
        27
        google_faq_answers
        28
        google_rich_snippet
        29
        google_search_result
        30
        indexedArray
        31
        total_images
        32
        total_videos
        33
        settings
        34
        url_current
        35
        menus
        36
        sidebar
        37
        i
        38
        __currentLoopData
        39
        loop
        40
        item
      uri
      GET {post}
      middleware
      web, checkdate
      as
      post.show
      controller
      App\Http\Controllers\Frontend\json_data\PostController@show
      namespace
      where
      file
      app/Http/Controllers/Frontend/json_data/PostController.php:18-166
      7 statements were executed307ms
      receivinghelpdeskask
      • select * from `posts` where `published_at` <= '2025-07-04 16:37:04' and `slug` = 'whats-the-greatest-common-factor-of-10-and-25' and `posts`.`deleted_at` is null limit 1
        3.1ms/app/Providers/RouteServiceProvider.php:54receivinghelpdeskask
        Metadata
        Bindings
        • 0. 2025-07-04 16:37:04
        • 1. whats-the-greatest-common-factor-of-10-and-25
        Backtrace
        • 15. /app/Providers/RouteServiceProvider.php:54
        • 18. /vendor/laravel/framework/src/Illuminate/Routing/Router.php:842
        • 19. Route binding:39
        • 20. /vendor/laravel/framework/src/Illuminate/Pipeline/Pipeline.php:167
        • 21. /vendor/laravel/framework/src/Illuminate/Foundation/Http/Middleware/VerifyCsrfToken.php:78
      • select * from `json_post_contents` where `json_post_contents`.`post_id` = 201067 and `json_post_contents`.`post_id` is not null and `rewrite_id` = 0
        2.7msmiddleware::checkdate:30receivinghelpdeskask
        Metadata
        Bindings
        • 0. 201067
        • 1. 0
        Backtrace
        • 19. middleware::checkdate:30
        • 20. /vendor/laravel/framework/src/Illuminate/Pipeline/Pipeline.php:167
        • 21. /vendor/laravel/jetstream/src/Http/Middleware/ShareInertiaData.php:61
        • 22. /vendor/laravel/framework/src/Illuminate/Pipeline/Pipeline.php:167
        • 23. /vendor/laravel/framework/src/Illuminate/Routing/Middleware/SubstituteBindings.php:50
      • select * from `nova_menu_menus` where `slug` = 'header' limit 1
        720μs/vendor/outl1ne/nova-menu-builder/src/helpers.php:32receivinghelpdeskask
        Metadata
        Bindings
        • 0. header
        Backtrace
        • 15. /vendor/outl1ne/nova-menu-builder/src/helpers.php:32
        • 17. /vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 18. /vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:45
        • 19. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:261
        • 20. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:205
      • select * from `nova_menu_menu_items` where `nova_menu_menu_items`.`menu_id` = 1 and `nova_menu_menu_items`.`menu_id` is not null and `parent_id` is null order by `parent_id` asc, `order` asc, `name` asc
        600μs/vendor/outl1ne/nova-menu-builder/src/Models/Menu.php:35receivinghelpdeskask
        Metadata
        Bindings
        • 0. 1
        Backtrace
        • 19. /vendor/outl1ne/nova-menu-builder/src/Models/Menu.php:35
        • 20. /vendor/outl1ne/nova-menu-builder/src/helpers.php:33
        • 22. /vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 23. /vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:45
        • 24. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:261
      • select * from `nova_menu_menu_items` where `nova_menu_menu_items`.`parent_id` in (1) order by `order` asc
        460μs/vendor/outl1ne/nova-menu-builder/src/Models/Menu.php:35receivinghelpdeskask
        Metadata
        Backtrace
        • 24. /vendor/outl1ne/nova-menu-builder/src/Models/Menu.php:35
        • 25. /vendor/outl1ne/nova-menu-builder/src/helpers.php:33
        • 27. /vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 28. /vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:45
        • 29. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:261
      • select `id`, `post_title`, `slug` from `posts` where `status` = 'publish' and `posts`.`deleted_at` is null order by RAND() limit 10
        299ms/app/View/Composers/SidebarView.php:22receivinghelpdeskask
        Metadata
        Bindings
        • 0. publish
        Backtrace
        • 14. /app/View/Composers/SidebarView.php:22
        • 15. /app/View/Composers/SidebarView.php:12
        • 16. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:124
        • 17. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:162
        • 20. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:177
      • select * from `fake_users` where `fake_users`.`id` = 24525 limit 1
        810μsview::2dd102cf0462e89a4d4d8bc77355d767652bf9aa:15receivinghelpdeskask
        Metadata
        Bindings
        • 0. 24525
        Backtrace
        • 21. view::2dd102cf0462e89a4d4d8bc77355d767652bf9aa:15
        • 23. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 25. /vendor/livewire/livewire/src/ComponentConcerns/RendersLivewireComponents.php:69
        • 26. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
      App\Models\FakeUser
      1
      Outl1ne\MenuBuilder\Models\MenuItem
      1
      Outl1ne\MenuBuilder\Models\Menu
      1
      App\Models\JsonPostContent
      1
      App\Models\Post
      11
          _token
          WHsjyDdWhkMppZ250wAwGIRbU4e4jc5FeONOL5gM
          _previous
          array:1 [ "url" => "https://receivinghelpdesk.com/ask/whats-the-greatest-common-factor-of-10-and-2...
          _flash
          array:2 [ "old" => [] "new" => [] ]
          PHPDEBUGBAR_STACK_DATA
          []
          path_info
          /whats-the-greatest-common-factor-of-10-and-25
          status_code
          200
          status_text
          OK
          format
          html
          content_type
          text/html; charset=UTF-8
          request_query
          []
          request_request
          []
          request_headers
            0 of 0   
          array:25 [▼
  "cookie" => array:1 [▶
    0 => "_pk_id.64.7c30=ed87d051bf93e022.1751627201.; _pk_ses.64.7c30=1; XSRF-TOKEN=eyJpdiI6IjhvajZ5blNLclF2NXRyRDd0c3pGMmc9PSIsInZhbHVlIjoib1dFMVk3aFlDTnZCK3ppQ1JXcEx6RTFMNStNaHJxSlhIeVBTTmZEaGxvVGNtVUx2VDV2Z1BEbW9sTzBybXF2T2RtdHJMMFJ4bFk4Y1RFVnBQNTlScUxnbUJiNStHWE1aZmtpN281RkJUZzVWR0pPMFgwY2lpeitVTnlaVHNMam0iLCJtYWMiOiIwNTNlNzY4NDM3NTlmNGQzZjE4YWU2ZDEyNDEzZDk0MWVkZjk0MzdmMTU5MTllNmUyYWE3ZmQ5MTQxOTY1ZDRjIiwidGFnIjoiIn0%3D; askhelpdesk_session=eyJpdiI6ImJoNzNSb2dDK2pROTRwRmJzSjNQUlE9PSIsInZhbHVlIjoiQXpJUFNnTTJwakV0NVhTcnZvWldxbG51eEZHTWtoSkNoa2lqcm1raGhkM2xmZ21XVm56akhnWGJFYjZ0NURscmxXbVNmcVRnalRUbnRIamFoVkhwYzBtdDFqNVNNbTdTeTAydm5vWWpyYUNUNlZ4LzVaWVNTRGdhc1ZldG5IRkoiLCJtYWMiOiJmMzVhMjA2OWEyZWQ2NDJhZjUyZDI3MjJhYWQ2YzhjNjk2YzJiZjJmNGI1M2E3MDZhN2Q3MzJlN2NiYzQ4ZDA3IiwidGFnIjoiIn0%3D ◀_pk_id.64.7c30=ed87d051bf93e022.1751627201.; _pk_ses.64.7c30=1; XSRF-TOKEN=eyJpdiI6IjhvajZ5blNLclF2NXRyRDd0c3pGMmc9PSIsInZhbHVlIjoib1dFMVk3aFlDTnZCK3ppQ1JXcEx6R ▶"
  ]
  "cf-ipcountry" => array:1 [▶
    0 => "US"
  ]
  "cf-connecting-ip" => array:1 [▶
    0 => "216.73.216.35"
  ]
  "cdn-loop" => array:1 [▶
    0 => "cloudflare; loops=1"
  ]
  "sec-fetch-mode" => array:1 [▶
    0 => "navigate"
  ]
  "sec-fetch-site" => array:1 [▶
    0 => "none"
  ]
  "accept" => array:1 [▶
    0 => "text/html,application/xhtml+xml,application/xml;q=0.9,image/avif,image/webp,image/apng,*/*;q=0.8,application/signed-exchange;v=b3;q=0.7"
  ]
  "user-agent" => array:1 [▶
    0 => "Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)"
  ]
  "upgrade-insecure-requests" => array:1 [▶
    0 => "1"
  ]
  "sec-ch-ua-platform" => array:1 [▶
    0 => ""Windows""
  ]
  "sec-ch-ua-mobile" => array:1 [▶
    0 => "?0"
  ]
  "sec-ch-ua" => array:1 [▶
    0 => ""Chromium";v="130", "HeadlessChrome";v="130", "Not?A_Brand";v="99""
  ]
  "cache-control" => array:1 [▶
    0 => "no-cache"
  ]
  "pragma" => array:1 [▶
    0 => "no-cache"
  ]
  "accept-encoding" => array:1 [▶
    0 => "gzip, br"
  ]
  "cf-ray" => array:1 [▶
    0 => "959e2827087a90cb-ORD"
  ]
  "priority" => array:1 [▶
    0 => "u=0, i"
  ]
  "sec-fetch-dest" => array:1 [▶
    0 => "document"
  ]
  "sec-fetch-user" => array:1 [▶
    0 => "?1"
  ]
  "cf-visitor" => array:1 [▶
    0 => "{"scheme":"https"}"
  ]
  "connection" => array:1 [▶
    0 => "close"
  ]
  "x-forwarded-proto" => array:1 [▶
    0 => "https"
  ]
  "x-forwarded-for" => array:1 [▶
    0 => "216.73.216.35, 172.69.59.77"
  ]
  "x-server-addr" => array:1 [▶
    0 => "154.12.239.204"
  ]
  "host" => array:1 [▶
    0 => "receivinghelpdesk.com"
  ]
]
          request_server
            0 of 0   
          array:56 [▼
  "USER" => "runcloud"
  "HOME" => "/home/runcloud"
  "SCRIPT_NAME" => "/ask/index.php"
  "REQUEST_URI" => "/ask/whats-the-greatest-common-factor-of-10-and-25"
  "QUERY_STRING" => ""
  "REQUEST_METHOD" => "GET"
  "SERVER_PROTOCOL" => "HTTP/1.0"
  "GATEWAY_INTERFACE" => "CGI/1.1"
  "REDIRECT_URL" => "/ask/whats-the-greatest-common-factor-of-10-and-25"
  "REMOTE_PORT" => "52894"
  "SCRIPT_FILENAME" => "/home/runcloud/webapps/ReceivingHelpDesk/ask/index.php"
  "SERVER_ADMIN" => "you@example.com"
  "CONTEXT_DOCUMENT_ROOT" => "/home/runcloud/webapps/ReceivingHelpDesk/"
  "CONTEXT_PREFIX" => ""
  "REQUEST_SCHEME" => "http"
  "DOCUMENT_ROOT" => "/home/runcloud/webapps/ReceivingHelpDesk/"
  "REMOTE_ADDR" => "172.69.59.77"
  "SERVER_PORT" => "80"
  "SERVER_ADDR" => "127.0.0.1"
  "SERVER_NAME" => "receivinghelpdesk.com"
  "SERVER_SOFTWARE" => "Apache/2.4.63 (Unix) OpenSSL/1.1.1f"
  "SERVER_SIGNATURE" => ""
  "LD_LIBRARY_PATH" => "/RunCloud/Packages/apache2-rc/lib"
  "PATH" => "/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/sbin:/bin"
  "HTTP_COOKIE" => "_pk_id.64.7c30=ed87d051bf93e022.1751627201.; _pk_ses.64.7c30=1; XSRF-TOKEN=eyJpdiI6IjhvajZ5blNLclF2NXRyRDd0c3pGMmc9PSIsInZhbHVlIjoib1dFMVk3aFlDTnZCK3ppQ1JXcEx6RTFMNStNaHJxSlhIeVBTTmZEaGxvVGNtVUx2VDV2Z1BEbW9sTzBybXF2T2RtdHJMMFJ4bFk4Y1RFVnBQNTlScUxnbUJiNStHWE1aZmtpN281RkJUZzVWR0pPMFgwY2lpeitVTnlaVHNMam0iLCJtYWMiOiIwNTNlNzY4NDM3NTlmNGQzZjE4YWU2ZDEyNDEzZDk0MWVkZjk0MzdmMTU5MTllNmUyYWE3ZmQ5MTQxOTY1ZDRjIiwidGFnIjoiIn0%3D; askhelpdesk_session=eyJpdiI6ImJoNzNSb2dDK2pROTRwRmJzSjNQUlE9PSIsInZhbHVlIjoiQXpJUFNnTTJwakV0NVhTcnZvWldxbG51eEZHTWtoSkNoa2lqcm1raGhkM2xmZ21XVm56akhnWGJFYjZ0NURscmxXbVNmcVRnalRUbnRIamFoVkhwYzBtdDFqNVNNbTdTeTAydm5vWWpyYUNUNlZ4LzVaWVNTRGdhc1ZldG5IRkoiLCJtYWMiOiJmMzVhMjA2OWEyZWQ2NDJhZjUyZDI3MjJhYWQ2YzhjNjk2YzJiZjJmNGI1M2E3MDZhN2Q3MzJlN2NiYzQ4ZDA3IiwidGFnIjoiIn0%3D ◀_pk_id.64.7c30=ed87d051bf93e022.1751627201.; _pk_ses.64.7c30=1; XSRF-TOKEN=eyJpdiI6IjhvajZ5blNLclF2NXRyRDd0c3pGMmc9PSIsInZhbHVlIjoib1dFMVk3aFlDTnZCK3ppQ1JXcEx6R ▶"
  "HTTP_CF_IPCOUNTRY" => "US"
  "HTTP_CF_CONNECTING_IP" => "216.73.216.35"
  "HTTP_CDN_LOOP" => "cloudflare; loops=1"
  "HTTP_SEC_FETCH_MODE" => "navigate"
  "HTTP_SEC_FETCH_SITE" => "none"
  "HTTP_ACCEPT" => "text/html,application/xhtml+xml,application/xml;q=0.9,image/avif,image/webp,image/apng,*/*;q=0.8,application/signed-exchange;v=b3;q=0.7"
  "HTTP_USER_AGENT" => "Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)"
  "HTTP_UPGRADE_INSECURE_REQUESTS" => "1"
  "HTTP_SEC_CH_UA_PLATFORM" => ""Windows""
  "HTTP_SEC_CH_UA_MOBILE" => "?0"
  "HTTP_SEC_CH_UA" => ""Chromium";v="130", "HeadlessChrome";v="130", "Not?A_Brand";v="99""
  "HTTP_CACHE_CONTROL" => "no-cache"
  "HTTP_PRAGMA" => "no-cache"
  "HTTP_ACCEPT_ENCODING" => "gzip, br"
  "HTTP_CF_RAY" => "959e2827087a90cb-ORD"
  "HTTP_PRIORITY" => "u=0, i"
  "HTTP_SEC_FETCH_DEST" => "document"
  "HTTP_SEC_FETCH_USER" => "?1"
  "HTTP_CF_VISITOR" => "{"scheme":"https"}"
  "HTTP_CONNECTION" => "close"
  "HTTP_X_FORWARDED_PROTO" => "https"
  "HTTP_X_FORWARDED_FOR" => "216.73.216.35, 172.69.59.77"
  "HTTP_X_SERVER_ADDR" => "154.12.239.204"
  "HTTP_HOST" => "receivinghelpdesk.com"
  "HTTPS" => "on"
  "REDIRECT_STATUS" => "200"
  "REDIRECT_HTTPS" => "on"
  "FCGI_ROLE" => "RESPONDER"
  "PHP_SELF" => "/ask/index.php"
  "REQUEST_TIME_FLOAT" => 1751627224.1851
  "REQUEST_TIME" => 1751627224
]
          request_cookies
            0 of 0   
          array:4 [▼
  "_pk_id_64_7c30" => null
  "_pk_ses_64_7c30" => null
  "XSRF-TOKEN" => "WHsjyDdWhkMppZ250wAwGIRbU4e4jc5FeONOL5gM"
  "askhelpdesk_session" => "xGWNCKAebCQkgJiWL9qszWiOTO7fnGOHLpbVUFSK"
]
          response_headers
            0 of 0   
          array:7 [▼
  "content-type" => array:1 [▶
    0 => "text/html; charset=UTF-8"
  ]
  "cache-control" => array:1 [▶
    0 => "private, must-revalidate"
  ]
  "date" => array:1 [▶
    0 => "Fri, 04 Jul 2025 11:07:04 GMT"
  ]
  "pragma" => array:1 [▶
    0 => "no-cache"
  ]
  "expires" => array:1 [▶
    0 => -1
  ]
  "set-cookie" => array:2 [▶
    0 => "XSRF-TOKEN=eyJpdiI6Ink1VnJOOTVNNHZtY1RiNVR0b0Q5ZXc9PSIsInZhbHVlIjoiRDNJMk1vZDZWZW1PMFRXbUsvOFdtUDJlTTVWLzF4V01kNjVlWStRZjFyb3hJdkxacnFDMEc3TllURnFIbEQraTNjT3BtQjlacnVXeVFaV1c0ZGJZYSt2MEJpRkFhSEdpcVVHSHdZbWR2YWliTEtvaWkwL3cybjB6bkltRGJSKysiLCJtYWMiOiJhMjg2ODY2Njg5YzRmMDc1ZDc5NWYxOTA1NzhmN2M5MWQ4N2RjNjQ4MGNkYThkN2FkMTcxYTEyYTEyZjg4MDUwIiwidGFnIjoiIn0%3D; expires=Fri, 04-Jul-2025 13:07:04 GMT; Max-Age=7200; path=/; samesite=lax ◀XSRF-TOKEN=eyJpdiI6Ink1VnJOOTVNNHZtY1RiNVR0b0Q5ZXc9PSIsInZhbHVlIjoiRDNJMk1vZDZWZW1PMFRXbUsvOFdtUDJlTTVWLzF4V01kNjVlWStRZjFyb3hJdkxacnFDMEc3TllURnFIbEQraTNjT3BtQ ▶"
    1 => "askhelpdesk_session=eyJpdiI6IkRlUzNZZHVHc0J1T29FUjJVbUJjOFE9PSIsInZhbHVlIjoidWE1K2duZUVETk9uTUFGZFdNbVlKSjljVXR3TmJZSEFwUDNFNzN5N3NqVTliVGdlQTJvVElBRlhJVlJmVnpPRC9jSC8yNVMwQTJqWlppd2tMb212VkE2Mlp0VHMvQ3pQSEI1NUV1VFFEUnMxNHNzbXdPM1RKcER4TzZXWURNYlAiLCJtYWMiOiI3NzhkYjNmMmFiYTM3YmRkYWRhZDJhNjBmNDM4ZTY2ZGJiMjdiYzliMWQyMzRiM2QxOWE0ZTU4NzNmYzE5Yzc4IiwidGFnIjoiIn0%3D; expires=Fri, 04-Jul-2025 13:07:04 GMT; Max-Age=7200; path=/; httponly; samesite=lax ◀askhelpdesk_session=eyJpdiI6IkRlUzNZZHVHc0J1T29FUjJVbUJjOFE9PSIsInZhbHVlIjoidWE1K2duZUVETk9uTUFGZFdNbVlKSjljVXR3TmJZSEFwUDNFNzN5N3NqVTliVGdlQTJvVElBRlhJVlJmVnpP ▶"
  ]
  "Set-Cookie" => array:2 [▶
    0 => "XSRF-TOKEN=eyJpdiI6Ink1VnJOOTVNNHZtY1RiNVR0b0Q5ZXc9PSIsInZhbHVlIjoiRDNJMk1vZDZWZW1PMFRXbUsvOFdtUDJlTTVWLzF4V01kNjVlWStRZjFyb3hJdkxacnFDMEc3TllURnFIbEQraTNjT3BtQjlacnVXeVFaV1c0ZGJZYSt2MEJpRkFhSEdpcVVHSHdZbWR2YWliTEtvaWkwL3cybjB6bkltRGJSKysiLCJtYWMiOiJhMjg2ODY2Njg5YzRmMDc1ZDc5NWYxOTA1NzhmN2M5MWQ4N2RjNjQ4MGNkYThkN2FkMTcxYTEyYTEyZjg4MDUwIiwidGFnIjoiIn0%3D; expires=Fri, 04-Jul-2025 13:07:04 GMT; path=/ ◀XSRF-TOKEN=eyJpdiI6Ink1VnJOOTVNNHZtY1RiNVR0b0Q5ZXc9PSIsInZhbHVlIjoiRDNJMk1vZDZWZW1PMFRXbUsvOFdtUDJlTTVWLzF4V01kNjVlWStRZjFyb3hJdkxacnFDMEc3TllURnFIbEQraTNjT3BtQ ▶"
    1 => "askhelpdesk_session=eyJpdiI6IkRlUzNZZHVHc0J1T29FUjJVbUJjOFE9PSIsInZhbHVlIjoidWE1K2duZUVETk9uTUFGZFdNbVlKSjljVXR3TmJZSEFwUDNFNzN5N3NqVTliVGdlQTJvVElBRlhJVlJmVnpPRC9jSC8yNVMwQTJqWlppd2tMb212VkE2Mlp0VHMvQ3pQSEI1NUV1VFFEUnMxNHNzbXdPM1RKcER4TzZXWURNYlAiLCJtYWMiOiI3NzhkYjNmMmFiYTM3YmRkYWRhZDJhNjBmNDM4ZTY2ZGJiMjdiYzliMWQyMzRiM2QxOWE0ZTU4NzNmYzE5Yzc4IiwidGFnIjoiIn0%3D; expires=Fri, 04-Jul-2025 13:07:04 GMT; path=/; httponly ◀askhelpdesk_session=eyJpdiI6IkRlUzNZZHVHc0J1T29FUjJVbUJjOFE9PSIsInZhbHVlIjoidWE1K2duZUVETk9uTUFGZFdNbVlKSjljVXR3TmJZSEFwUDNFNzN5N3NqVTliVGdlQTJvVElBRlhJVlJmVnpP ▶"
  ]
]
          session_attributes
            0 of 0   
          array:4 [▼
  "_token" => "WHsjyDdWhkMppZ250wAwGIRbU4e4jc5FeONOL5gM"
  "_previous" => array:1 [▶
    "url" => "https://receivinghelpdesk.com/ask/whats-the-greatest-common-factor-of-10-and-25"
  ]
  "_flash" => array:2 [▶
    "old" => []
    "new" => []
  ]
  "PHPDEBUGBAR_STACK_DATA" => []
]