Greatest Common Factor of 44 and 12604
GCF(44, 12604) = 4, Greatest common factor of 44 and 12604 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 44 and 12604. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 44 and 12604 by prime factorization method
We will first find the prime factorization of 44 and 12604.
Prime Factorization of 44 is 1, 2, 2, 11 and Prime Factorization of 12604 is 1, 2, 2, 23, 137.
- Factorize\( (44) = \) \(1\times 2\times 2\times 11\)
- Factorize\( (12604) = \) \(1\times 2\times 2\times 23\times 137\)
Now we need to find any which are common for each number (1, 2, 2) and multiply these numbers together.
\(GCF(44, 12604) = 1\times 2\times 2 = 4\).
Greatest Common Factor of 44 and 12604 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 12604 leaving a remainder zero is 1, 2, 4, 23, 46, 92, 137, 274, 548, 3151, 6302, 12604
As you can see, 4 is the greatest and common number that 44 and 12604 divides into.
So the greatest common factor 44 and 12604 is 4.
\(GCF(44, 12604) = 4\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
