Greatest Common Factor of 44 and 308
GCF(44, 308) = 44, Greatest common factor of 44 and 308 is 44. 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 44 and 308. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 44 and 308 by prime factorization method
We will first find the prime factorization of 44 and 308.
Prime Factorization of 44 is 1, 2, 2, 11 and Prime Factorization of 308 is 1, 2, 2, 7, 11.
- Factorize\( (44) = \) \(1\times 2\times 2\times 11\)
- Factorize\( (308) = \) \(1\times 2\times 2\times 7\times 11\)
Now we need to find any which are common for each number (1, 2, 2, 11) and multiply these numbers together.
\(GCF(44, 308) = 1\times 2\times 2\times 11 = 44\).
Greatest Common Factor of 44 and 308 by matching factors method
List of positive integers factors of 44 leaving a remainder zero is 1, 2, 4, 11, 22, 44
List of positive integers factors of 308 leaving a remainder zero is 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
As you can see, 44 is the greatest and common number that 44 and 308 divides into.
So the greatest common factor 44 and 308 is 44.
\(GCF(44, 308) = 44\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
