Greatest Common Factor of 32 and 7187
GCF(32, 7187) = 1, Greatest common factor of 32 and 7187 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 7187. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 32 and 7187 by prime factorization method
We will first find the prime factorization of 32 and 7187.
Prime Factorization of 32 is 1, 2, 2, 2, 2, 2 and Prime Factorization of 7187 is 1, 7187.
- Factorize\( (32) = \) \(1\times 2\times 2\times 2\times 2\times 2\)
- Factorize\( (7187) = \) \(1\times 7187\)
Now we need to find any which are common for each number (1, 1) and multiply these numbers together.
\(GCF(32, 7187) = 1\times 1 = 1\).
Greatest Common Factor of 32 and 7187 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 7187 leaving a remainder zero is 1, 7187
As you can see, 1 is the greatest and common number that 32 and 7187 divides into.
So the greatest common factor 32 and 7187 is 1.
\(GCF(32, 7187) = 1\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
