Question

What is the greatest common factor of 6 and 54?

Answer 1

The answer is 6.

Explanation:

First, let's find the GCF of both numbers. We know that because both are even, they both have a GCF of 2. Now, we divide both numbers by 2. 6 divided by 2 is equal to 3. 54 divided by 2 is equal to 27. Now, let's go even more into the problem. Both are divisible by 3, and we come up with 1 and 9 respectively. Now, let's find the GCF of both of those numbers. Because 1 is already fully divided off, we now need to multiply our other 2 GCFs. 2 times 3 is equal to 6, and 6 is our GCF.

Let's check our answer. 6 divided by 6 is equal to 1. 54 divided by 6 is equal to 9, so our answer is right.