Greatest Common Factor of 13 and 5356
GCF(13, 5356) = 13, Greatest common factor of 13 and 5356 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 5356. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 13 and 5356 by prime factorization method
We will first find the prime factorization of 13 and 5356.
Prime Factorization of 13 is 1, 13 and Prime Factorization of 5356 is 1, 2, 2, 13, 103.
- Factorize\( (13) = \) \(1\times 13\)
- Factorize\( (5356) = \) \(1\times 2\times 2\times 13\times 103\)
Now we need to find any which are common for each number (1, 13) and multiply these numbers together.
\(GCF(13, 5356) = 1\times 13 = 13\).
Greatest Common Factor of 13 and 5356 by matching factors method
List of positive integers factors of 13 leaving a remainder zero is 1, 13
List of positive integers factors of 5356 leaving a remainder zero is 1, 2, 4, 13, 26, 52, 103, 206, 412, 1339, 2678, 5356
As you can see, 13 is the greatest and common number that 13 and 5356 divides into.
So the greatest common factor 13 and 5356 is 13.
\(GCF(13, 5356) = 13\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
