Greatest Common Factor of 48 and 293
GCF(48, 293) = 1, Greatest common factor of 48 and 293 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 293. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 48 and 293 by prime factorization method
We will first find the prime factorization of 48 and 293.
Prime Factorization of 48 is 1, 2, 2, 2, 2, 3 and Prime Factorization of 293 is 1, 293.
- Factorize\( (48) = \) \(1\times 2\times 2\times 2\times 2\times 3\)
- Factorize\( (293) = \) \(1\times 293\)
Now we need to find any which are common for each number (1, 1) and multiply these numbers together.
\(GCF(48, 293) = 1\times 1 = 1\).
Greatest Common Factor of 48 and 293 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 293 leaving a remainder zero is 1, 293
As you can see, 1 is the greatest and common number that 48 and 293 divides into.
So the greatest common factor 48 and 293 is 1.
\(GCF(48, 293) = 1\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
