Greatest Common Factor of 316 and 3406
GCF(316, 3406) = 2, Greatest common factor of 316 and 3406 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 316 and 3406. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 316 and 3406 by prime factorization method
We will first find the prime factorization of 316 and 3406.
Prime Factorization of 316 is 1, 2, 2, 79 and Prime Factorization of 3406 is 1, 2, 13, 131.
- Factorize\( (316) = \) \(1\times 2\times 2\times 79\)
- Factorize\( (3406) = \) \(1\times 2\times 13\times 131\)
Now we need to find any which are common for each number (1, 2) and multiply these numbers together.
\(GCF(316, 3406) = 1\times 2 = 2\).
Greatest Common Factor of 316 and 3406 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 3406 leaving a remainder zero is 1, 2, 13, 26, 131, 262, 1703, 3406
As you can see, 2 is the greatest and common number that 316 and 3406 divides into.
So the greatest common factor 316 and 3406 is 2.
\(GCF(316, 3406) = 2\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
