Greatest Common Factor of 136 and 1679
GCF(136, 1679) = 1, Greatest common factor of 136 and 1679 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 1679. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 136 and 1679 by prime factorization method
We will first find the prime factorization of 136 and 1679.
Prime Factorization of 136 is 1, 2, 2, 2, 17 and Prime Factorization of 1679 is 1, 23, 73.
- Factorize\( (136) = \) \(1\times 2\times 2\times 2\times 17\)
- Factorize\( (1679) = \) \(1\times 23\times 73\)
Now we need to find any which are common for each number (1, 1) and multiply these numbers together.
\(GCF(136, 1679) = 1\times 1 = 1\).
Greatest Common Factor of 136 and 1679 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 1679 leaving a remainder zero is 1, 23, 73, 1679
As you can see, 1 is the greatest and common number that 136 and 1679 divides into.
So the greatest common factor 136 and 1679 is 1.
\(GCF(136, 1679) = 1\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
