Greatest Common Factor of 252 and 3188
GCF(252, 3188) = 4, Greatest common factor of 252 and 3188 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 252 and 3188. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 252 and 3188 by prime factorization method
We will first find the prime factorization of 252 and 3188.
Prime Factorization of 252 is 1, 2, 2, 3, 3, 7 and Prime Factorization of 3188 is 1, 2, 2, 797.
- Factorize\( (252) = \) \(1\times 2\times 2\times 3\times 3\times 7\)
- Factorize\( (3188) = \) \(1\times 2\times 2\times 797\)
Now we need to find any which are common for each number (1, 2, 2) and multiply these numbers together.
\(GCF(252, 3188) = 1\times 2\times 2 = 4\).
Greatest Common Factor of 252 and 3188 by matching factors method
List of positive integers factors of 252 leaving a remainder zero is 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
List of positive integers factors of 3188 leaving a remainder zero is 1, 2, 4, 797, 1594, 3188
As you can see, 4 is the greatest and common number that 252 and 3188 divides into.
So the greatest common factor 252 and 3188 is 4.
\(GCF(252, 3188) = 4\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
