Greatest Common Factor of 132 and 576
GCF(132, 576) = 12, Greatest common factor of 132 and 576 is 12. 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 132 and 576. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 132 and 576 by prime factorization method
We will first find the prime factorization of 132 and 576.
Prime Factorization of 132 is 1, 2, 2, 3, 11 and Prime Factorization of 576 is 1, 2, 2, 2, 2, 2, 2, 3, 3.
- Factorize\( (132) = \) \(1\times 2\times 2\times 3\times 11\)
- Factorize\( (576) = \) \(1\times 2\times 2\times 2\times 2\times 2\times 2\times 3\times 3\)
Now we need to find any which are common for each number (1, 2, 2, 3) and multiply these numbers together.
\(GCF(132, 576) = 1\times 2\times 2\times 3 = 12\).
Greatest Common Factor of 132 and 576 by matching factors method
List of positive integers factors of 132 leaving a remainder zero is 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
List of positive integers factors of 576 leaving a remainder zero is 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
As you can see, 12 is the greatest and common number that 132 and 576 divides into.
So the greatest common factor 132 and 576 is 12.
\(GCF(132, 576) = 12\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
