Greatest Common Factor of 64 and 218
GCF(64, 218) = 2, Greatest common factor of 64 and 218 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 218. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 64 and 218 by prime factorization method
We will first find the prime factorization of 64 and 218.
Prime Factorization of 64 is 1, 2, 2, 2, 2, 2, 2 and Prime Factorization of 218 is 1, 2, 109.
- Factorize\( (64) = \) \(1\times 2\times 2\times 2\times 2\times 2\times 2\)
- Factorize\( (218) = \) \(1\times 2\times 109\)
Now we need to find any which are common for each number (1, 2) and multiply these numbers together.
\(GCF(64, 218) = 1\times 2 = 2\).
Greatest Common Factor of 64 and 218 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 218 leaving a remainder zero is 1, 2, 109, 218
As you can see, 2 is the greatest and common number that 64 and 218 divides into.
So the greatest common factor 64 and 218 is 2.
\(GCF(64, 218) = 2\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
