Question

The GCF of 6 and 8 is__

Answer 1

Explanation:

In general, factor the numbers given into their primes.

6: 2*3

8: 2 * 2 * 2

Take the most you can from the two numbers primes. In this case it is 2.

A slightly more interesting problem is the GCF of 12 and 18

12: 2 * 2 * 3

18: 2 * 3 * 3

Here the two numbers that are common to both factored numbers is 2 and 3

GCF = 2*3

GCF = 6

Answer 2

2

Explanation:

The reason 2 is the Greatest Common Factor of 6 and 8 is because 2 is the only number (other than 1) that you can divide evenly by both numbers without making a fraction. 6/2= 3 and 8/2= 4.