Greatest Common Factor of 252 and 225
GCF(252, 225) = 9, Greatest common factor of 252 and 225 is 9. 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 225. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 252 and 225 by prime factorization method
We will first find the prime factorization of 252 and 225.
Prime Factorization of 252 is 1, 2, 2, 3, 3, 7 and Prime Factorization of 225 is 1, 3, 3, 5, 5.
- Factorize\( (252) = \) \(1\times 2\times 2\times 3\times 3\times 7\)
- Factorize\( (225) = \) \(1\times 3\times 3\times 5\times 5\)
Now we need to find any which are common for each number (1, 3, 3) and multiply these numbers together.
\(GCF(252, 225) = 1\times 3\times 3 = 9\).
Greatest Common Factor of 252 and 225 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 225 leaving a remainder zero is 1, 3, 5, 9, 15, 25, 45, 75, 225
As you can see, 9 is the greatest and common number that 252 and 225 divides into.
So the greatest common factor 252 and 225 is 9.
\(GCF(252, 225) = 9\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
