Listing factors works well if the numbers don't have too many factors.
8 ---> 1, 2, 4, 8
12 ---> 1, 2, 3, 4, 6, 12
GCF (8, 12) = 4
But what if we don't want to write out all the factors.
Maybe the number has 20 factors - that would be a pain.
I'm going to show you another method using a Venn Diagram and Prime Factorization.
You'll love it!