Greatest Common Factor of 920 and 6256
GCF(920, 6256) = 184, Greatest common factor of 920 and 6256 is 184. 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 920 and 6256. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 920 and 6256 by prime factorization method
We will first find the prime factorization of 920 and 6256.
Prime Factorization of 920 is 1, 2, 2, 2, 5, 23 and Prime Factorization of 6256 is 1, 2, 2, 2, 2, 17, 23.
- Factorize\( (920) = \) \(1\times 2\times 2\times 2\times 5\times 23\)
- Factorize\( (6256) = \) \(1\times 2\times 2\times 2\times 2\times 17\times 23\)
Now we need to find any which are common for each number (1, 2, 2, 2, 23) and multiply these numbers together.
\(GCF(920, 6256) = 1\times 2\times 2\times 2\times 23 = 184\).
Greatest Common Factor of 920 and 6256 by matching factors method
List of positive integers factors of 920 leaving a remainder zero is 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
List of positive integers factors of 6256 leaving a remainder zero is 1, 2, 4, 8, 16, 17, 23, 34, 46, 68, 92, 136, 184, 272, 368, 391, 782, 1564, 3128, 6256
As you can see, 184 is the greatest and common number that 920 and 6256 divides into.
So the greatest common factor 920 and 6256 is 184.
\(GCF(920, 6256) = 184\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
