Greatest Common Factor of 64 and 7001
GCF(64, 7001) = 1, Greatest common factor of 64 and 7001 is 1. 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 7001. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 64 and 7001 by prime factorization method
We will first find the prime factorization of 64 and 7001.
Prime Factorization of 64 is 1, 2, 2, 2, 2, 2, 2 and Prime Factorization of 7001 is 1, 7001.
- Factorize\( (64) = \) \(1\times 2\times 2\times 2\times 2\times 2\times 2\)
- Factorize\( (7001) = \) \(1\times 7001\)
Now we need to find any which are common for each number (1, 1) and multiply these numbers together.
\(GCF(64, 7001) = 1\times 1 = 1\).
Greatest Common Factor of 64 and 7001 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 7001 leaving a remainder zero is 1, 7001
As you can see, 1 is the greatest and common number that 64 and 7001 divides into.
So the greatest common factor 64 and 7001 is 1.
\(GCF(64, 7001) = 1\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
