Greatest Common Factor of 52 and 13510
GCF(52, 13510) = 2, Greatest common factor of 52 and 13510 is 2. 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 13510. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 52 and 13510 by prime factorization method
We will first find the prime factorization of 52 and 13510.
Prime Factorization of 52 is 1, 2, 2, 13 and Prime Factorization of 13510 is 1, 2, 5, 7, 193.
- Factorize\( (52) = \) \(1\times 2\times 2\times 13\)
- Factorize\( (13510) = \) \(1\times 2\times 5\times 7\times 193\)
Now we need to find any which are common for each number (1, 2) and multiply these numbers together.
\(GCF(52, 13510) = 1\times 2 = 2\).
Greatest Common Factor of 52 and 13510 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 13510 leaving a remainder zero is 1, 2, 5, 7, 10, 14, 35, 70, 193, 386, 965, 1351, 1930, 2702, 6755, 13510
As you can see, 2 is the greatest and common number that 52 and 13510 divides into.
So the greatest common factor 52 and 13510 is 2.
\(GCF(52, 13510) = 2\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
