Greatest Common Factor of 48 and 11357
GCF(48, 11357) = 1, Greatest common factor of 48 and 11357 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 11357. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 48 and 11357 by prime factorization method
We will first find the prime factorization of 48 and 11357.
Prime Factorization of 48 is 1, 2, 2, 2, 2, 3 and Prime Factorization of 11357 is 1, 41, 277.
- Factorize\( (48) = \) \(1\times 2\times 2\times 2\times 2\times 3\)
- Factorize\( (11357) = \) \(1\times 41\times 277\)
Now we need to find any which are common for each number (1, 1) and multiply these numbers together.
\(GCF(48, 11357) = 1\times 1 = 1\).
Greatest Common Factor of 48 and 11357 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 11357 leaving a remainder zero is 1, 41, 277, 11357
As you can see, 1 is the greatest and common number that 48 and 11357 divides into.
So the greatest common factor 48 and 11357 is 1.
\(GCF(48, 11357) = 1\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
