Greatest Common Factor of 136 and 3410
GCF(136, 3410) = 2, Greatest common factor of 136 and 3410 is 2. 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 3410. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 136 and 3410 by prime factorization method
We will first find the prime factorization of 136 and 3410.
Prime Factorization of 136 is 1, 2, 2, 2, 17 and Prime Factorization of 3410 is 1, 2, 5, 11, 31.
- Factorize\( (136) = \) \(1\times 2\times 2\times 2\times 17\)
- Factorize\( (3410) = \) \(1\times 2\times 5\times 11\times 31\)
Now we need to find any which are common for each number (1, 2) and multiply these numbers together.
\(GCF(136, 3410) = 1\times 2 = 2\).
Greatest Common Factor of 136 and 3410 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 3410 leaving a remainder zero is 1, 2, 5, 10, 11, 22, 31, 55, 62, 110, 155, 310, 341, 682, 1705, 3410
As you can see, 2 is the greatest and common number that 136 and 3410 divides into.
So the greatest common factor 136 and 3410 is 2.
\(GCF(136, 3410) = 2\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
