Greatest Common Factor of 244 and 412
GCF(244, 412) = 4, Greatest common factor of 244 and 412 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 412. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 244 and 412 by prime factorization method
We will first find the prime factorization of 244 and 412.
Prime Factorization of 244 is 1, 2, 2, 61 and Prime Factorization of 412 is 1, 2, 2, 103.
- Factorize\( (244) = \) \(1\times 2\times 2\times 61\)
- Factorize\( (412) = \) \(1\times 2\times 2\times 103\)
Now we need to find any which are common for each number (1, 2, 2) and multiply these numbers together.
\(GCF(244, 412) = 1\times 2\times 2 = 4\).
Greatest Common Factor of 244 and 412 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 412 leaving a remainder zero is 1, 2, 4, 103, 206, 412
As you can see, 4 is the greatest and common number that 244 and 412 divides into.
So the greatest common factor 244 and 412 is 4.
\(GCF(244, 412) = 4\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
