Greatest Common Factor of 136 and 3167
GCF(136, 3167) = 1, Greatest common factor of 136 and 3167 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 3167. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 136 and 3167 by prime factorization method
We will first find the prime factorization of 136 and 3167.
Prime Factorization of 136 is 1, 2, 2, 2, 17 and Prime Factorization of 3167 is 1, 3167.
- Factorize\( (136) = \) \(1\times 2\times 2\times 2\times 17\)
- Factorize\( (3167) = \) \(1\times 3167\)
Now we need to find any which are common for each number (1, 1) and multiply these numbers together.
\(GCF(136, 3167) = 1\times 1 = 1\).
Greatest Common Factor of 136 and 3167 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 3167 leaving a remainder zero is 1, 3167
As you can see, 1 is the greatest and common number that 136 and 3167 divides into.
So the greatest common factor 136 and 3167 is 1.
\(GCF(136, 3167) = 1\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
