Greatest Common Factor of 316 and 3112
GCF(316, 3112) = 4, Greatest common factor of 316 and 3112 is 4. 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 3112. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 316 and 3112 by prime factorization method
We will first find the prime factorization of 316 and 3112.
Prime Factorization of 316 is 1, 2, 2, 79 and Prime Factorization of 3112 is 1, 2, 2, 2, 389.
- Factorize\( (316) = \) \(1\times 2\times 2\times 79\)
- Factorize\( (3112) = \) \(1\times 2\times 2\times 2\times 389\)
Now we need to find any which are common for each number (1, 2, 2) and multiply these numbers together.
\(GCF(316, 3112) = 1\times 2\times 2 = 4\).
Greatest Common Factor of 316 and 3112 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 3112 leaving a remainder zero is 1, 2, 4, 8, 389, 778, 1556, 3112
As you can see, 4 is the greatest and common number that 316 and 3112 divides into.
So the greatest common factor 316 and 3112 is 4.
\(GCF(316, 3112) = 4\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
