Greatest Common Factor of 48 and 5656
GCF(48, 5656) = 8, Greatest common factor of 48 and 5656 is 8. 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 48 and 5656. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 48 and 5656 by prime factorization method
We will first find the prime factorization of 48 and 5656.
Prime Factorization of 48 is 1, 2, 2, 2, 2, 3 and Prime Factorization of 5656 is 1, 2, 2, 2, 7, 101.
- Factorize\( (48) = \) \(1\times 2\times 2\times 2\times 2\times 3\)
- Factorize\( (5656) = \) \(1\times 2\times 2\times 2\times 7\times 101\)
Now we need to find any which are common for each number (1, 2, 2, 2) and multiply these numbers together.
\(GCF(48, 5656) = 1\times 2\times 2\times 2 = 8\).
Greatest Common Factor of 48 and 5656 by matching factors method
List of positive integers factors of 48 leaving a remainder zero is 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
List of positive integers factors of 5656 leaving a remainder zero is 1, 2, 4, 7, 8, 14, 28, 56, 101, 202, 404, 707, 808, 1414, 2828, 5656
As you can see, 8 is the greatest and common number that 48 and 5656 divides into.
So the greatest common factor 48 and 5656 is 8.
\(GCF(48, 5656) = 8\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
