Greatest Common Factor of 48 and 12701
GCF(48, 12701) = 1, Greatest common factor of 48 and 12701 is 1. 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 12701. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 48 and 12701 by prime factorization method
We will first find the prime factorization of 48 and 12701.
Prime Factorization of 48 is 1, 2, 2, 2, 2, 3 and Prime Factorization of 12701 is 1, 13, 977.
- Factorize\( (48) = \) \(1\times 2\times 2\times 2\times 2\times 3\)
- Factorize\( (12701) = \) \(1\times 13\times 977\)
Now we need to find any which are common for each number (1, 1) and multiply these numbers together.
\(GCF(48, 12701) = 1\times 1 = 1\).
Greatest Common Factor of 48 and 12701 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 12701 leaving a remainder zero is 1, 13, 977, 12701
As you can see, 1 is the greatest and common number that 48 and 12701 divides into.
So the greatest common factor 48 and 12701 is 1.
\(GCF(48, 12701) = 1\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
