The factors of 8 are:
1, 2, 4, 8
The factors of 12 are:
1, 2, 3, 4, 6, 12
The factors of 20 are:
1, 2, 4, 5, 10, 20
The Greatest Common Factor:
GCF = 4
Chat with our AI personalities
prime factorization of:
12 = 2 x 2 x 3
24 = 2 x 2 x 3 x 2
20 = 2 x 2 --------x 5
==============
GCF=2 x 2
GCF = 4
What is the greatest common factor of 8, 20, and 30?
First check to see if the lowest number goes into the other two. 8 does not divide 20 or 30.
Next break the lowest number into it's factors. Don't include the number itself, because you already checked that in the previous step (i.e., 8 does not divide 20 or 30)
1x8 = 8
2x4 = 8
4x2 = 8 (the factors repeated, therefore we listed them all)
So check the highest factor:
4 divides 20 (20/4 = 5 which is an integer)
4 does not divide 30 (30/4 = 7.5 which is not an integer)
Check the next highest factor:
2 divides 20 (20/2 = 10 which is an integer)
2 divides 30 (30/2 = 15 which is an integer)
Therefore the greatest common factor of 8, 20 and 30 is 2.