What is the GCF for 8, 18 and 70?

1 Answer
David B.
Oct 19, 2017

#2# is the GCF of #8#, #18# and #70#.

Explanation:

Since we are looking for the Greatest Common Factor of the numbers given, we begin by factoring the numbers. It is usually easiest to start with the smallest number. Also, if there is a number that has obvious factors. In our case, #8# satisfies both of these:

#8= 2*2*2#

In fact, #8# only has one unique factor! If there is to be a common factor (other than #1#) it must be #2#. We now need to check that both #18# and #70# have #2# as a factor:

#18=2*9#
#70=2*35#

Therefore, #2# is the GCF of #8#, #18# and #70#.

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