Greatest Common Factor of 64 and 9056
GCF(64, 9056) = 32, Greatest common factor of 64 and 9056 is 32. 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 9056. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 64 and 9056 by prime factorization method
We will first find the prime factorization of 64 and 9056.
Prime Factorization of 64 is 1, 2, 2, 2, 2, 2, 2 and Prime Factorization of 9056 is 1, 2, 2, 2, 2, 2, 283.
- Factorize\( (64) = \) \(1\times 2\times 2\times 2\times 2\times 2\times 2\)
- Factorize\( (9056) = \) \(1\times 2\times 2\times 2\times 2\times 2\times 283\)
Now we need to find any which are common for each number (1, 2, 2, 2, 2, 2) and multiply these numbers together.
\(GCF(64, 9056) = 1\times 2\times 2\times 2\times 2\times 2 = 32\).
Greatest Common Factor of 64 and 9056 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 9056 leaving a remainder zero is 1, 2, 4, 8, 16, 32, 283, 566, 1132, 2264, 4528, 9056
As you can see, 32 is the greatest and common number that 64 and 9056 divides into.
So the greatest common factor 64 and 9056 is 32.
\(GCF(64, 9056) = 32\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
