Greatest Common Factor of 968 and 165
GCF(968, 165) = 11, Greatest common factor of 968 and 165 is 11. 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 968 and 165. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 968 and 165 by prime factorization method
We will first find the prime factorization of 968 and 165.
Prime Factorization of 968 is 1, 2, 2, 2, 11, 11 and Prime Factorization of 165 is 1, 3, 5, 11.
- Factorize\( (968) = \) \(1\times 2\times 2\times 2\times 11\times 11\)
- Factorize\( (165) = \) \(1\times 3\times 5\times 11\)
Now we need to find any which are common for each number (1, 11) and multiply these numbers together.
\(GCF(968, 165) = 1\times 11 = 11\).
Greatest Common Factor of 968 and 165 by matching factors method
List of positive integers factors of 968 leaving a remainder zero is 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
List of positive integers factors of 165 leaving a remainder zero is 1, 3, 5, 11, 15, 33, 55, 165
As you can see, 11 is the greatest and common number that 968 and 165 divides into.
So the greatest common factor 968 and 165 is 11.
\(GCF(968, 165) = 11\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
