Greatest Common Factor of 32 and 1371
GCF(32, 1371) = 1, Greatest common factor of 32 and 1371 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 1371. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 32 and 1371 by prime factorization method
We will first find the prime factorization of 32 and 1371.
Prime Factorization of 32 is 1, 2, 2, 2, 2, 2 and Prime Factorization of 1371 is 1, 3, 457.
- Factorize\( (32) = \) \(1\times 2\times 2\times 2\times 2\times 2\)
- Factorize\( (1371) = \) \(1\times 3\times 457\)
Now we need to find any which are common for each number (1, 1) and multiply these numbers together.
\(GCF(32, 1371) = 1\times 1 = 1\).
Greatest Common Factor of 32 and 1371 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 1371 leaving a remainder zero is 1, 3, 457, 1371
As you can see, 1 is the greatest and common number that 32 and 1371 divides into.
So the greatest common factor 32 and 1371 is 1.
\(GCF(32, 1371) = 1\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
