Greatest Common Factor of 124 and 1980
GCF(124, 1980) = 4, Greatest common factor of 124 and 1980 is 4. 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 124 and 1980. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 124 and 1980 by prime factorization method
We will first find the prime factorization of 124 and 1980.
Prime Factorization of 124 is 1, 2, 2, 31 and Prime Factorization of 1980 is 1, 2, 2, 3, 3, 5, 11.
- Factorize\( (124) = \) \(1\times 2\times 2\times 31\)
- Factorize\( (1980) = \) \(1\times 2\times 2\times 3\times 3\times 5\times 11\)
Now we need to find any which are common for each number (1, 2, 2) and multiply these numbers together.
\(GCF(124, 1980) = 1\times 2\times 2 = 4\).
Greatest Common Factor of 124 and 1980 by matching factors method
List of positive integers factors of 124 leaving a remainder zero is 1, 2, 4, 31, 62, 124
List of positive integers factors of 1980 leaving a remainder zero is 1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 15, 18, 20, 22, 30, 33, 36, 44, 45, 55, 60, 66, 90, 99, 110, 132, 165, 180, 198, 220, 330, 396, 495, 660, 990, 1980
As you can see, 4 is the greatest and common number that 124 and 1980 divides into.
So the greatest common factor 124 and 1980 is 4.
\(GCF(124, 1980) = 4\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
