Greatest Common Factor of 60 and 31
GCF(60, 31) = 1, Greatest common factor of 60 and 31 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 60 and 31. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 60 and 31 by prime factorization method
We will first find the prime factorization of 60 and 31.
Prime Factorization of 60 is 1, 2, 2, 3, 5 and Prime Factorization of 31 is 1, 31.
- Factorize\( (60) = \) \(1\times 2\times 2\times 3\times 5\)
- Factorize\( (31) = \) \(1\times 31\)
Now we need to find any which are common for each number (1, 1) and multiply these numbers together.
\(GCF(60, 31) = 1\times 1 = 1\).
Greatest Common Factor of 60 and 31 by matching factors method
List of positive integers factors of 60 leaving a remainder zero is 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
List of positive integers factors of 31 leaving a remainder zero is 1, 31
As you can see, 1 is the greatest and common number that 60 and 31 divides into.
So the greatest common factor 60 and 31 is 1.
\(GCF(60, 31) = 1\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
