Greatest Common Factor of 64 and 8646
GCF(64, 8646) = 2, Greatest common factor of 64 and 8646 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 64 and 8646. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 64 and 8646 by prime factorization method
We will first find the prime factorization of 64 and 8646.
Prime Factorization of 64 is 1, 2, 2, 2, 2, 2, 2 and Prime Factorization of 8646 is 1, 2, 3, 11, 131.
- Factorize\( (64) = \) \(1\times 2\times 2\times 2\times 2\times 2\times 2\)
- Factorize\( (8646) = \) \(1\times 2\times 3\times 11\times 131\)
Now we need to find any which are common for each number (1, 2) and multiply these numbers together.
\(GCF(64, 8646) = 1\times 2 = 2\).
Greatest Common Factor of 64 and 8646 by matching factors method
List of positive integers factors of 64 leaving a remainder zero is 1, 2, 4, 8, 16, 32, 64
List of positive integers factors of 8646 leaving a remainder zero is 1, 2, 3, 6, 11, 22, 33, 66, 131, 262, 393, 786, 1441, 2882, 4323, 8646
As you can see, 2 is the greatest and common number that 64 and 8646 divides into.
So the greatest common factor 64 and 8646 is 2.
\(GCF(64, 8646) = 2\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
