Greatest Common Factor of 132 and 9626
GCF(132, 9626) = 2, Greatest common factor of 132 and 9626 is 2. 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 9626. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 132 and 9626 by prime factorization method
We will first find the prime factorization of 132 and 9626.
Prime Factorization of 132 is 1, 2, 2, 3, 11 and Prime Factorization of 9626 is 1, 2, 4813.
- Factorize\( (132) = \) \(1\times 2\times 2\times 3\times 11\)
- Factorize\( (9626) = \) \(1\times 2\times 4813\)
Now we need to find any which are common for each number (1, 2) and multiply these numbers together.
\(GCF(132, 9626) = 1\times 2 = 2\).
Greatest Common Factor of 132 and 9626 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 9626 leaving a remainder zero is 1, 2, 4813, 9626
As you can see, 2 is the greatest and common number that 132 and 9626 divides into.
So the greatest common factor 132 and 9626 is 2.
\(GCF(132, 9626) = 2\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
