Greatest Common Factor of 132 and 8305
GCF(132, 8305) = 11, Greatest common factor of 132 and 8305 is 11. 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 8305. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 132 and 8305 by prime factorization method
We will first find the prime factorization of 132 and 8305.
Prime Factorization of 132 is 1, 2, 2, 3, 11 and Prime Factorization of 8305 is 1, 5, 11, 151.
- Factorize\( (132) = \) \(1\times 2\times 2\times 3\times 11\)
- Factorize\( (8305) = \) \(1\times 5\times 11\times 151\)
Now we need to find any which are common for each number (1, 11) and multiply these numbers together.
\(GCF(132, 8305) = 1\times 11 = 11\).
Greatest Common Factor of 132 and 8305 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 8305 leaving a remainder zero is 1, 5, 11, 55, 151, 755, 1661, 8305
As you can see, 11 is the greatest and common number that 132 and 8305 divides into.
So the greatest common factor 132 and 8305 is 11.
\(GCF(132, 8305) = 11\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
