Greatest Common Factor of 136 and 3177
GCF(136, 3177) = 1, Greatest common factor of 136 and 3177 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 136 and 3177. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 136 and 3177 by prime factorization method
We will first find the prime factorization of 136 and 3177.
Prime Factorization of 136 is 1, 2, 2, 2, 17 and Prime Factorization of 3177 is 1, 3, 3, 353.
- Factorize\( (136) = \) \(1\times 2\times 2\times 2\times 17\)
- Factorize\( (3177) = \) \(1\times 3\times 3\times 353\)
Now we need to find any which are common for each number (1, 1) and multiply these numbers together.
\(GCF(136, 3177) = 1\times 1 = 1\).
Greatest Common Factor of 136 and 3177 by matching factors method
List of positive integers factors of 136 leaving a remainder zero is 1, 2, 4, 8, 17, 34, 68, 136
List of positive integers factors of 3177 leaving a remainder zero is 1, 3, 9, 353, 1059, 3177
As you can see, 1 is the greatest and common number that 136 and 3177 divides into.
So the greatest common factor 136 and 3177 is 1.
\(GCF(136, 3177) = 1\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
