Greatest Common Factor of 13 and 2756
GCF(13, 2756) = 13, Greatest common factor of 13 and 2756 is 13. 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 13 and 2756. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 13 and 2756 by prime factorization method
We will first find the prime factorization of 13 and 2756.
Prime Factorization of 13 is 1, 13 and Prime Factorization of 2756 is 1, 2, 2, 13, 53.
- Factorize\( (13) = \) \(1\times 13\)
- Factorize\( (2756) = \) \(1\times 2\times 2\times 13\times 53\)
Now we need to find any which are common for each number (1, 13) and multiply these numbers together.
\(GCF(13, 2756) = 1\times 13 = 13\).
Greatest Common Factor of 13 and 2756 by matching factors method
List of positive integers factors of 13 leaving a remainder zero is 1, 13
List of positive integers factors of 2756 leaving a remainder zero is 1, 2, 4, 13, 26, 52, 53, 106, 212, 689, 1378, 2756
As you can see, 13 is the greatest and common number that 13 and 2756 divides into.
So the greatest common factor 13 and 2756 is 13.
\(GCF(13, 2756) = 13\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
