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# Maximum value of an integer for which factorial can be calculated on a machine

• Difficulty Level : Medium
• Last Updated : 26 Jun, 2021

Program to find maximum value of an integer for which factorial can be calculated on a machine, assuming that factorial is stored using basic data type like long long int.

The idea is based on that fact that, in most of the machines, when we cross limit of integer, the values becomes negative.

## C

 `// C program to find maximum value of``// an integer for which factorial can``// be calculated on your system``#include ` `int` `findMaxValue()``{``    ``int` `res = 2;``    ``long` `long` `int` `fact = 2;``    ``while` `(1)``    ``{``        ``// when fact crosses its size,``        ``// it gives negative value``        ``if` `(fact < 0)``            ``break``;``        ``res++;``        ``fact = fact * res;``    ``}``    ``return` `res - 1;``}` `// Driver Code``int` `main()``{``    ``printf` `(``"Maximum value of integer : %d\n"``,``                                 ``findMaxValue());``    ``return` `0;``}`

## Java

 `// Java program to find maximum value of``// an integer for which factorial can be``// calculated on your system``import` `java.io.*;``import` `java.util.*;` `class` `GFG``{``    ``public` `static` `int` `findMaxValue()``    ``{``        ``int` `res = ``2``;``        ``long` `fact = ``2``;``        ``while` `(``true``)``        ``{``            ``// when fact crosses its size,``            ``// it gives negative value``            ``if` `(fact < ``0``)``                ``break``;``            ``res++;``            ``fact = fact * res;``        ``}``        ``return` `res - ``1``;``    ``}` `    ``// Driver Code``    ``public` `static` `void` `main(String[] args)``    ``{``        ``System.out.println(``"Maximum value of"``+``                                 ``" integer "` `+``                              ``findMaxValue());``    ``}``}`

## Python3

 `# Python3 program to find maximum value of``# an integer for which factorial can be``# calculated on your system``import` `sys``def` `findMaxValue():` `    ``res ``=` `2``;``    ``fact ``=` `2``;``    ``while` `(``True``):``        ` `        ``# when fact crosses its size``        ``# it gives negative value``        ``if` `(fact < ``0` `or` `fact > sys.maxsize):``            ``break``;``        ``res ``+``=` `1``;``        ``fact ``=` `fact ``*` `res;``    ``return` `res ``-` `1``;` `# Driver Code``if` `__name__ ``=``=` `'__main__'``:``    ` `    ``print``(``"Maximum value of integer:"``,``                      ``findMaxValue());``    ` `# This code is contributed by 29AjayKumar`

## C#

 `// C# program to find maximum value of``// an integer for which factorial can``// be calculated on your system``using` `System;` `class` `GFG``{``    ``public` `static` `int` `findMaxValue()``    ``{``        ``int` `res = 2;``        ``long` `fact = 2;``        ``while` `(``true``)``        ``{``            ``// when fact crosses its size,``            ``// it gives negative value``            ``if` `(fact < 0)``                ``break``;``            ``res++;``            ``fact = fact * res;``        ``}``        ``return` `res - 1;``    ``}` `    ``// Driver Code``    ``public` `static` `void` `Main()``    ``{``        ``Console.Write(``"Maximum value of"``+``                            ``" integer "` `+``                         ``findMaxValue());``    ``}``}` `// This code is contributed by nitin mittal`

## PHP

 ` 0)``            ``break``;``        ``\$res``++;``        ``\$fact` `= ``\$fact` `* ``\$res``;``    ``}``    ``return` `\$res` `- 1;``}` `// Driver Code``echo` `"Maximum value of"``.``           ``" integer "` `.``         ``findMaxValue();``    ` `// This code is contributed by Sam007``?>`

## Javascript

 ``

Output :

`Maximum value of integer : 20`

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