Greatest Common Factor of 136 and 7120
GCF(136, 7120) = 8, Greatest common factor of 136 and 7120 is 8. 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 7120. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 136 and 7120 by prime factorization method
We will first find the prime factorization of 136 and 7120.
Prime Factorization of 136 is 1, 2, 2, 2, 17 and Prime Factorization of 7120 is 1, 2, 2, 2, 2, 5, 89.
- Factorize\( (136) = \) \(1\times 2\times 2\times 2\times 17\)
- Factorize\( (7120) = \) \(1\times 2\times 2\times 2\times 2\times 5\times 89\)
Now we need to find any which are common for each number (1, 2, 2, 2) and multiply these numbers together.
\(GCF(136, 7120) = 1\times 2\times 2\times 2 = 8\).
Greatest Common Factor of 136 and 7120 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 7120 leaving a remainder zero is 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 89, 178, 356, 445, 712, 890, 1424, 1780, 3560, 7120
As you can see, 8 is the greatest and common number that 136 and 7120 divides into.
So the greatest common factor 136 and 7120 is 8.
\(GCF(136, 7120) = 8\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
