Greatest Common Factor of 204 and 8976
GCF(204, 8976) = 204, Greatest common factor of 204 and 8976 is 204. 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 204 and 8976. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 204 and 8976 by prime factorization method
We will first find the prime factorization of 204 and 8976.
Prime Factorization of 204 is 1, 2, 2, 3, 17 and Prime Factorization of 8976 is 1, 2, 2, 2, 2, 3, 11, 17.
- Factorize\( (204) = \) \(1\times 2\times 2\times 3\times 17\)
- Factorize\( (8976) = \) \(1\times 2\times 2\times 2\times 2\times 3\times 11\times 17\)
Now we need to find any which are common for each number (1, 2, 2, 3, 17) and multiply these numbers together.
\(GCF(204, 8976) = 1\times 2\times 2\times 3\times 17 = 204\).
Greatest Common Factor of 204 and 8976 by matching factors method
List of positive integers factors of 204 leaving a remainder zero is 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
List of positive integers factors of 8976 leaving a remainder zero is 1, 2, 3, 4, 6, 8, 11, 12, 16, 17, 22, 24, 33, 34, 44, 48, 51, 66, 68, 88, 102, 132, 136, 176, 187, 204, 264, 272, 374, 408, 528, 561, 748, 816, 1122, 1496, 2244, 2992, 4488, 8976
As you can see, 204 is the greatest and common number that 204 and 8976 divides into.
So the greatest common factor 204 and 8976 is 204.
\(GCF(204, 8976) = 204\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
