Greatest Common Factor of 52 and 10124
GCF(52, 10124) = 4, Greatest common factor of 52 and 10124 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 52 and 10124. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 52 and 10124 by prime factorization method
We will first find the prime factorization of 52 and 10124.
Prime Factorization of 52 is 1, 2, 2, 13 and Prime Factorization of 10124 is 1, 2, 2, 2531.
- Factorize\( (52) = \) \(1\times 2\times 2\times 13\)
- Factorize\( (10124) = \) \(1\times 2\times 2\times 2531\)
Now we need to find any which are common for each number (1, 2, 2) and multiply these numbers together.
\(GCF(52, 10124) = 1\times 2\times 2 = 4\).
Greatest Common Factor of 52 and 10124 by matching factors method
List of positive integers factors of 52 leaving a remainder zero is 1, 2, 4, 13, 26, 52
List of positive integers factors of 10124 leaving a remainder zero is 1, 2, 4, 2531, 5062, 10124
As you can see, 4 is the greatest and common number that 52 and 10124 divides into.
So the greatest common factor 52 and 10124 is 4.
\(GCF(52, 10124) = 4\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
