Greatest Common Factor of 492 and 3239
GCF(492, 3239) = 41, Greatest common factor of 492 and 3239 is 41. 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 492 and 3239. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 492 and 3239 by prime factorization method
We will first find the prime factorization of 492 and 3239.
Prime Factorization of 492 is 1, 2, 2, 3, 41 and Prime Factorization of 3239 is 1, 41, 79.
- Factorize\( (492) = \) \(1\times 2\times 2\times 3\times 41\)
- Factorize\( (3239) = \) \(1\times 41\times 79\)
Now we need to find any which are common for each number (1, 41) and multiply these numbers together.
\(GCF(492, 3239) = 1\times 41 = 41\).
Greatest Common Factor of 492 and 3239 by matching factors method
List of positive integers factors of 492 leaving a remainder zero is 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
List of positive integers factors of 3239 leaving a remainder zero is 1, 41, 79, 3239
As you can see, 41 is the greatest and common number that 492 and 3239 divides into.
So the greatest common factor 492 and 3239 is 41.
\(GCF(492, 3239) = 41\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
