Greatest Common Factor for 8 and 12

To find the greatest common factor (GCF) for 8 and 1,2 we need to list all the factors for both numbers and then find the greatest common factor they share.

First, we'll list the factors of 8:
1, 2, 4, 8

Next, we'll list the factors of 12:
1, 2, 3, 6, 12

Now, we can compare the two lists and find the greatest common factor that they share, which is 4. Therefore, the GCF of 8 and 12 is 4.

Note that the Greatest Common Factor (GFC) is also called:
- Highest Common Factor (HCF)
- Greatest Common Denominator(GCD)

We can also note that the greatest common factor of two numbers is the largest positive integer that divides both numbers without leaving a remainder. In this case, both 8 and 12 are divisible by 4 without leaving a remainder, making 4 the GCF of 8 and12.