Greatest Common Factor of 136 and 2729
GCF(136, 2729) = 1, Greatest common factor of 136 and 2729 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 2729. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 136 and 2729 by prime factorization method
We will first find the prime factorization of 136 and 2729.
Prime Factorization of 136 is 1, 2, 2, 2, 17 and Prime Factorization of 2729 is 1, 2729.
- Factorize\( (136) = \) \(1\times 2\times 2\times 2\times 17\)
- Factorize\( (2729) = \) \(1\times 2729\)
Now we need to find any which are common for each number (1, 1) and multiply these numbers together.
\(GCF(136, 2729) = 1\times 1 = 1\).
Greatest Common Factor of 136 and 2729 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 2729 leaving a remainder zero is 1, 2729
As you can see, 1 is the greatest and common number that 136 and 2729 divides into.
So the greatest common factor 136 and 2729 is 1.
\(GCF(136, 2729) = 1\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
