Greatest Common Factor of 3320 and 2490
GCF(3320, 2490) = 830, Greatest common factor of 3320 and 2490 is 830. 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 3320 and 2490. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 3320 and 2490 by prime factorization method
We will first find the prime factorization of 3320 and 2490.
Prime Factorization of 3320 is 1, 2, 2, 2, 5, 83 and Prime Factorization of 2490 is 1, 2, 3, 5, 83.
- Factorize\( (3320) = \) \(1\times 2\times 2\times 2\times 5\times 83\)
- Factorize\( (2490) = \) \(1\times 2\times 3\times 5\times 83\)
Now we need to find any which are common for each number (1, 2, 5, 83) and multiply these numbers together.
\(GCF(3320, 2490) = 1\times 2\times 5\times 83 = 830\).
Greatest Common Factor of 3320 and 2490 by matching factors method
List of positive integers factors of 3320 leaving a remainder zero is 1, 2, 4, 5, 8, 10, 20, 40, 83, 166, 332, 415, 664, 830, 1660, 3320
List of positive integers factors of 2490 leaving a remainder zero is 1, 2, 3, 5, 6, 10, 15, 30, 83, 166, 249, 415, 498, 830, 1245, 2490
As you can see, 830 is the greatest and common number that 3320 and 2490 divides into.
So the greatest common factor 3320 and 2490 is 830.
\(GCF(3320, 2490) = 830\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
