Greatest Common Factor of 136 and 6834
GCF(136, 6834) = 34, Greatest common factor of 136 and 6834 is 34. 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 6834. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 136 and 6834 by prime factorization method
We will first find the prime factorization of 136 and 6834.
Prime Factorization of 136 is 1, 2, 2, 2, 17 and Prime Factorization of 6834 is 1, 2, 3, 17, 67.
- Factorize\( (136) = \) \(1\times 2\times 2\times 2\times 17\)
- Factorize\( (6834) = \) \(1\times 2\times 3\times 17\times 67\)
Now we need to find any which are common for each number (1, 2, 17) and multiply these numbers together.
\(GCF(136, 6834) = 1\times 2\times 17 = 34\).
Greatest Common Factor of 136 and 6834 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 6834 leaving a remainder zero is 1, 2, 3, 6, 17, 34, 51, 67, 102, 134, 201, 402, 1139, 2278, 3417, 6834
As you can see, 34 is the greatest and common number that 136 and 6834 divides into.
So the greatest common factor 136 and 6834 is 34.
\(GCF(136, 6834) = 34\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
