Greatest Common Factor of 244 and 772
GCF(244, 772) = 4, Greatest common factor of 244 and 772 is 4. 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 244 and 772. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 244 and 772 by prime factorization method
We will first find the prime factorization of 244 and 772.
Prime Factorization of 244 is 1, 2, 2, 61 and Prime Factorization of 772 is 1, 2, 2, 193.
- Factorize\( (244) = \) \(1\times 2\times 2\times 61\)
- Factorize\( (772) = \) \(1\times 2\times 2\times 193\)
Now we need to find any which are common for each number (1, 2, 2) and multiply these numbers together.
\(GCF(244, 772) = 1\times 2\times 2 = 4\).
Greatest Common Factor of 244 and 772 by matching factors method
List of positive integers factors of 244 leaving a remainder zero is 1, 2, 4, 61, 122, 244
List of positive integers factors of 772 leaving a remainder zero is 1, 2, 4, 193, 386, 772
As you can see, 4 is the greatest and common number that 244 and 772 divides into.
So the greatest common factor 244 and 772 is 4.
\(GCF(244, 772) = 4\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
