Greatest Common Factor of 972 and 5977
GCF(972, 5977) = 1, Greatest common factor of 972 and 5977 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 972 and 5977. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 972 and 5977 by prime factorization method
We will first find the prime factorization of 972 and 5977.
Prime Factorization of 972 is 1, 2, 2, 3, 3, 3, 3, 3 and Prime Factorization of 5977 is 1, 43, 139.
- Factorize\( (972) = \) \(1\times 2\times 2\times 3\times 3\times 3\times 3\times 3\)
- Factorize\( (5977) = \) \(1\times 43\times 139\)
Now we need to find any which are common for each number (1, 1) and multiply these numbers together.
\(GCF(972, 5977) = 1\times 1 = 1\).
Greatest Common Factor of 972 and 5977 by matching factors method
List of positive integers factors of 972 leaving a remainder zero is 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
List of positive integers factors of 5977 leaving a remainder zero is 1, 43, 139, 5977
As you can see, 1 is the greatest and common number that 972 and 5977 divides into.
So the greatest common factor 972 and 5977 is 1.
\(GCF(972, 5977) = 1\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
