Greatest Common Factor of 13 and 5972
GCF(13, 5972) = 1, Greatest common factor of 13 and 5972 is 1. 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 5972. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 13 and 5972 by prime factorization method
We will first find the prime factorization of 13 and 5972.
Prime Factorization of 13 is 1, 13 and Prime Factorization of 5972 is 1, 2, 2, 1493.
- Factorize\( (13) = \) \(1\times 13\)
- Factorize\( (5972) = \) \(1\times 2\times 2\times 1493\)
Now we need to find any which are common for each number (1, 1) and multiply these numbers together.
\(GCF(13, 5972) = 1\times 1 = 1\).
Greatest Common Factor of 13 and 5972 by matching factors method
List of positive integers factors of 13 leaving a remainder zero is 1, 13
List of positive integers factors of 5972 leaving a remainder zero is 1, 2, 4, 1493, 2986, 5972
As you can see, 1 is the greatest and common number that 13 and 5972 divides into.
So the greatest common factor 13 and 5972 is 1.
\(GCF(13, 5972) = 1\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
