Greatest Common Factor of 332 and 498
GCF(332, 498) = 166, Greatest common factor of 332 and 498 is 166. 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 332 and 498. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 332 and 498 by prime factorization method
We will first find the prime factorization of 332 and 498.
Prime Factorization of 332 is 1, 2, 2, 83 and Prime Factorization of 498 is 1, 2, 3, 83.
- Factorize\( (332) = \) \(1\times 2\times 2\times 83\)
- Factorize\( (498) = \) \(1\times 2\times 3\times 83\)
Now we need to find any which are common for each number (1, 2, 83) and multiply these numbers together.
\(GCF(332, 498) = 1\times 2\times 83 = 166\).
Greatest Common Factor of 332 and 498 by matching factors method
List of positive integers factors of 332 leaving a remainder zero is 1, 2, 4, 83, 166, 332
List of positive integers factors of 498 leaving a remainder zero is 1, 2, 3, 6, 83, 166, 249, 498
As you can see, 166 is the greatest and common number that 332 and 498 divides into.
So the greatest common factor 332 and 498 is 166.
\(GCF(332, 498) = 166\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
