Greatest Common Factor of 32 and 6651
GCF(32, 6651) = 1, Greatest common factor of 32 and 6651 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 32 and 6651. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 32 and 6651 by prime factorization method
We will first find the prime factorization of 32 and 6651.
Prime Factorization of 32 is 1, 2, 2, 2, 2, 2 and Prime Factorization of 6651 is 1, 3, 3, 739.
- Factorize\( (32) = \) \(1\times 2\times 2\times 2\times 2\times 2\)
- Factorize\( (6651) = \) \(1\times 3\times 3\times 739\)
Now we need to find any which are common for each number (1, 1) and multiply these numbers together.
\(GCF(32, 6651) = 1\times 1 = 1\).
Greatest Common Factor of 32 and 6651 by matching factors method
List of positive integers factors of 32 leaving a remainder zero is 1, 2, 4, 8, 16, 32
List of positive integers factors of 6651 leaving a remainder zero is 1, 3, 9, 739, 2217, 6651
As you can see, 1 is the greatest and common number that 32 and 6651 divides into.
So the greatest common factor 32 and 6651 is 1.
\(GCF(32, 6651) = 1\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
