Greatest Common Factor of 136 and 3630
GCF(136, 3630) = 2, Greatest common factor of 136 and 3630 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 3630. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 136 and 3630 by prime factorization method
We will first find the prime factorization of 136 and 3630.
Prime Factorization of 136 is 1, 2, 2, 2, 17 and Prime Factorization of 3630 is 1, 2, 3, 5, 11, 11.
- Factorize\( (136) = \) \(1\times 2\times 2\times 2\times 17\)
- Factorize\( (3630) = \) \(1\times 2\times 3\times 5\times 11\times 11\)
Now we need to find any which are common for each number (1, 2) and multiply these numbers together.
\(GCF(136, 3630) = 1\times 2 = 2\).
Greatest Common Factor of 136 and 3630 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 3630 leaving a remainder zero is 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 121, 165, 242, 330, 363, 605, 726, 1210, 1815, 3630
As you can see, 2 is the greatest and common number that 136 and 3630 divides into.
So the greatest common factor 136 and 3630 is 2.
\(GCF(136, 3630) = 2\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
