Greatest Common Factor of 976 and 8174
GCF(976, 8174) = 122, Greatest common factor of 976 and 8174 is 122. 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 976 and 8174. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 976 and 8174 by prime factorization method
We will first find the prime factorization of 976 and 8174.
Prime Factorization of 976 is 1, 2, 2, 2, 2, 61 and Prime Factorization of 8174 is 1, 2, 61, 67.
- Factorize\( (976) = \) \(1\times 2\times 2\times 2\times 2\times 61\)
- Factorize\( (8174) = \) \(1\times 2\times 61\times 67\)
Now we need to find any which are common for each number (1, 2, 61) and multiply these numbers together.
\(GCF(976, 8174) = 1\times 2\times 61 = 122\).
Greatest Common Factor of 976 and 8174 by matching factors method
List of positive integers factors of 976 leaving a remainder zero is 1, 2, 4, 8, 16, 61, 122, 244, 488, 976
List of positive integers factors of 8174 leaving a remainder zero is 1, 2, 61, 67, 122, 134, 4087, 8174
As you can see, 122 is the greatest and common number that 976 and 8174 divides into.
So the greatest common factor 976 and 8174 is 122.
\(GCF(976, 8174) = 122\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
