Greatest Common Factor of 136 and 11663
GCF(136, 11663) = 1, Greatest common factor of 136 and 11663 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 11663. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 136 and 11663 by prime factorization method
We will first find the prime factorization of 136 and 11663.
Prime Factorization of 136 is 1, 2, 2, 2, 17 and Prime Factorization of 11663 is 1, 107, 109.
- Factorize\( (136) = \) \(1\times 2\times 2\times 2\times 17\)
- Factorize\( (11663) = \) \(1\times 107\times 109\)
Now we need to find any which are common for each number (1, 1) and multiply these numbers together.
\(GCF(136, 11663) = 1\times 1 = 1\).
Greatest Common Factor of 136 and 11663 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 11663 leaving a remainder zero is 1, 107, 109, 11663
As you can see, 1 is the greatest and common number that 136 and 11663 divides into.
So the greatest common factor 136 and 11663 is 1.
\(GCF(136, 11663) = 1\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
