Greatest Common Factor of 48 and 12679
GCF(48, 12679) = 1, Greatest common factor of 48 and 12679 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 12679. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 48 and 12679 by prime factorization method
We will first find the prime factorization of 48 and 12679.
Prime Factorization of 48 is 1, 2, 2, 2, 2, 3 and Prime Factorization of 12679 is 1, 31, 409.
- Factorize\( (48) = \) \(1\times 2\times 2\times 2\times 2\times 3\)
- Factorize\( (12679) = \) \(1\times 31\times 409\)
Now we need to find any which are common for each number (1, 1) and multiply these numbers together.
\(GCF(48, 12679) = 1\times 1 = 1\).
Greatest Common Factor of 48 and 12679 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 12679 leaving a remainder zero is 1, 31, 409, 12679
As you can see, 1 is the greatest and common number that 48 and 12679 divides into.
So the greatest common factor 48 and 12679 is 1.
\(GCF(48, 12679) = 1\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
