Greatest Common Factor of 976 and 5612
GCF(976, 5612) = 244, Greatest common factor of 976 and 5612 is 244. 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 5612. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 976 and 5612 by prime factorization method
We will first find the prime factorization of 976 and 5612.
Prime Factorization of 976 is 1, 2, 2, 2, 2, 61 and Prime Factorization of 5612 is 1, 2, 2, 23, 61.
- Factorize\( (976) = \) \(1\times 2\times 2\times 2\times 2\times 61\)
- Factorize\( (5612) = \) \(1\times 2\times 2\times 23\times 61\)
Now we need to find any which are common for each number (1, 2, 2, 61) and multiply these numbers together.
\(GCF(976, 5612) = 1\times 2\times 2\times 61 = 244\).
Greatest Common Factor of 976 and 5612 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 5612 leaving a remainder zero is 1, 2, 4, 23, 46, 61, 92, 122, 244, 1403, 2806, 5612
As you can see, 244 is the greatest and common number that 976 and 5612 divides into.
So the greatest common factor 976 and 5612 is 244.
\(GCF(976, 5612) = 244\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
