Greatest Common Factor of 252 and 182
GCF(252, 182) = 14, Greatest common factor of 252 and 182 is 14. 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 182. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 252 and 182 by prime factorization method
We will first find the prime factorization of 252 and 182.
Prime Factorization of 252 is 1, 2, 2, 3, 3, 7 and Prime Factorization of 182 is 1, 2, 7, 13.
- Factorize\( (252) = \) \(1\times 2\times 2\times 3\times 3\times 7\)
- Factorize\( (182) = \) \(1\times 2\times 7\times 13\)
Now we need to find any which are common for each number (1, 2, 7) and multiply these numbers together.
\(GCF(252, 182) = 1\times 2\times 7 = 14\).
Greatest Common Factor of 252 and 182 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 182 leaving a remainder zero is 1, 2, 7, 13, 14, 26, 91, 182
As you can see, 14 is the greatest and common number that 252 and 182 divides into.
So the greatest common factor 252 and 182 is 14.
\(GCF(252, 182) = 14\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
