Greatest Common Factor of 316 and 1422
GCF(316, 1422) = 158, Greatest common factor of 316 and 1422 is 158. 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 316 and 1422. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 316 and 1422 by prime factorization method
We will first find the prime factorization of 316 and 1422.
Prime Factorization of 316 is 1, 2, 2, 79 and Prime Factorization of 1422 is 1, 2, 3, 3, 79.
- Factorize\( (316) = \) \(1\times 2\times 2\times 79\)
- Factorize\( (1422) = \) \(1\times 2\times 3\times 3\times 79\)
Now we need to find any which are common for each number (1, 2, 79) and multiply these numbers together.
\(GCF(316, 1422) = 1\times 2\times 79 = 158\).
Greatest Common Factor of 316 and 1422 by matching factors method
List of positive integers factors of 316 leaving a remainder zero is 1, 2, 4, 79, 158, 316
List of positive integers factors of 1422 leaving a remainder zero is 1, 2, 3, 6, 9, 18, 79, 158, 237, 474, 711, 1422
As you can see, 158 is the greatest and common number that 316 and 1422 divides into.
So the greatest common factor 316 and 1422 is 158.
\(GCF(316, 1422) = 158\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
