Greatest Common Factor of 13 and 2327
GCF(13, 2327) = 13, Greatest common factor of 13 and 2327 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 2327. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 13 and 2327 by prime factorization method
We will first find the prime factorization of 13 and 2327.
Prime Factorization of 13 is 1, 13 and Prime Factorization of 2327 is 1, 13, 179.
- Factorize\( (13) = \) \(1\times 13\)
- Factorize\( (2327) = \) \(1\times 13\times 179\)
Now we need to find any which are common for each number (1, 13) and multiply these numbers together.
\(GCF(13, 2327) = 1\times 13 = 13\).
Greatest Common Factor of 13 and 2327 by matching factors method
List of positive integers factors of 13 leaving a remainder zero is 1, 13
List of positive integers factors of 2327 leaving a remainder zero is 1, 13, 179, 2327
As you can see, 13 is the greatest and common number that 13 and 2327 divides into.
So the greatest common factor 13 and 2327 is 13.
\(GCF(13, 2327) = 13\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
