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Maximum value of an integer for which factorial can be calculated on a machine
• Difficulty Level : Medium
• Last Updated : 07 Jan, 2020

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.

## Recommended: Please try your approach on {IDE} first, before moving on to the solution.

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``?>`

Output :
```Maximum value of integer : 20
```

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