Greatest Common Factor of 136 and 1000
GCF(136, 1000) = 8, Greatest common factor of 136 and 1000 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 1000. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 136 and 1000 by prime factorization method
We will first find the prime factorization of 136 and 1000.
Prime Factorization of 136 is 1, 2, 2, 2, 17 and Prime Factorization of 1000 is 1, 2, 2, 2, 5, 5, 5.
- Factorize\( (136) = \) \(1\times 2\times 2\times 2\times 17\)
- Factorize\( (1000) = \) \(1\times 2\times 2\times 2\times 5\times 5\times 5\)
Now we need to find any which are common for each number (1, 2, 2, 2) and multiply these numbers together.
\(GCF(136, 1000) = 1\times 2\times 2\times 2 = 8\).
Greatest Common Factor of 136 and 1000 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 1000 leaving a remainder zero is 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000
As you can see, 8 is the greatest and common number that 136 and 1000 divides into.
So the greatest common factor 136 and 1000 is 8.
\(GCF(136, 1000) = 8\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
