Greatest Common Factor of 136 and 2705
GCF(136, 2705) = 1, Greatest common factor of 136 and 2705 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 2705. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 136 and 2705 by prime factorization method
We will first find the prime factorization of 136 and 2705.
Prime Factorization of 136 is 1, 2, 2, 2, 17 and Prime Factorization of 2705 is 1, 5, 541.
- Factorize\( (136) = \) \(1\times 2\times 2\times 2\times 17\)
- Factorize\( (2705) = \) \(1\times 5\times 541\)
Now we need to find any which are common for each number (1, 1) and multiply these numbers together.
\(GCF(136, 2705) = 1\times 1 = 1\).
Greatest Common Factor of 136 and 2705 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 2705 leaving a remainder zero is 1, 5, 541, 2705
As you can see, 1 is the greatest and common number that 136 and 2705 divides into.
So the greatest common factor 136 and 2705 is 1.
\(GCF(136, 2705) = 1\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
