Greatest Common Factor of 936 and 585
GCF(936, 585) = 117, Greatest common factor of 936 and 585 is 117. Greatest Common Factor or Greatest Common Divisor of two numbers is the largest integer by which both the numbers can be divided. There are two different methods to calculate Greatest Common Factor of 936 and 585. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 936 and 585 by prime factorization method
We will first find the prime factorization of 936 and 585.
Prime Factorization of 936 is 1, 2, 2, 2, 3, 3, 13 and Prime Factorization of 585 is 1, 3, 3, 5, 13.
- Factorize\( (936) = \) \(1\times 2\times 2\times 2\times 3\times 3\times 13\)
- Factorize\( (585) = \) \(1\times 3\times 3\times 5\times 13\)
Now we need to find any which are common for each number (1, 3, 3, 13) and multiply these numbers together.
\(GCF(936, 585) = 1\times 3\times 3\times 13 = 117\).
Greatest Common Factor of 936 and 585 by matching factors method
List of positive integers factors of 936 leaving a remainder zero is 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
List of positive integers factors of 585 leaving a remainder zero is 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
As you can see, 117 is the greatest and common number that 936 and 585 divides into.
So the greatest common factor 936 and 585 is 117.
\(GCF(936, 585) = 117\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
