Greatest Common Factor of 124 and 9624
GCF(124, 9624) = 4, Greatest common factor of 124 and 9624 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 9624. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 124 and 9624 by prime factorization method
We will first find the prime factorization of 124 and 9624.
Prime Factorization of 124 is 1, 2, 2, 31 and Prime Factorization of 9624 is 1, 2, 2, 2, 3, 401.
- Factorize\( (124) = \) \(1\times 2\times 2\times 31\)
- Factorize\( (9624) = \) \(1\times 2\times 2\times 2\times 3\times 401\)
Now we need to find any which are common for each number (1, 2, 2) and multiply these numbers together.
\(GCF(124, 9624) = 1\times 2\times 2 = 4\).
Greatest Common Factor of 124 and 9624 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 9624 leaving a remainder zero is 1, 2, 3, 4, 6, 8, 12, 24, 401, 802, 1203, 1604, 2406, 3208, 4812, 9624
As you can see, 4 is the greatest and common number that 124 and 9624 divides into.
So the greatest common factor 124 and 9624 is 4.
\(GCF(124, 9624) = 4\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
