Greatest Common Factor of 52 and 10828
GCF(52, 10828) = 4, Greatest common factor of 52 and 10828 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 10828. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 52 and 10828 by prime factorization method
We will first find the prime factorization of 52 and 10828.
Prime Factorization of 52 is 1, 2, 2, 13 and Prime Factorization of 10828 is 1, 2, 2, 2707.
- Factorize\( (52) = \) \(1\times 2\times 2\times 13\)
- Factorize\( (10828) = \) \(1\times 2\times 2\times 2707\)
Now we need to find any which are common for each number (1, 2, 2) and multiply these numbers together.
\(GCF(52, 10828) = 1\times 2\times 2 = 4\).
Greatest Common Factor of 52 and 10828 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 10828 leaving a remainder zero is 1, 2, 4, 2707, 5414, 10828
As you can see, 4 is the greatest and common number that 52 and 10828 divides into.
So the greatest common factor 52 and 10828 is 4.
\(GCF(52, 10828) = 4\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
