Greatest Common Factor of 2672 and 1169
GCF(2672, 1169) = 167, Greatest common factor of 2672 and 1169 is 167. 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 2672 and 1169. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 2672 and 1169 by prime factorization method
We will first find the prime factorization of 2672 and 1169.
Prime Factorization of 2672 is 1, 2, 2, 2, 2, 167 and Prime Factorization of 1169 is 1, 7, 167.
- Factorize\( (2672) = \) \(1\times 2\times 2\times 2\times 2\times 167\)
- Factorize\( (1169) = \) \(1\times 7\times 167\)
Now we need to find any which are common for each number (1, 167) and multiply these numbers together.
\(GCF(2672, 1169) = 1\times 167 = 167\).
Greatest Common Factor of 2672 and 1169 by matching factors method
List of positive integers factors of 2672 leaving a remainder zero is 1, 2, 4, 8, 16, 167, 334, 668, 1336, 2672
List of positive integers factors of 1169 leaving a remainder zero is 1, 7, 167, 1169
As you can see, 167 is the greatest and common number that 2672 and 1169 divides into.
So the greatest common factor 2672 and 1169 is 167.
\(GCF(2672, 1169) = 167\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
