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Answered 2009-10-01 16:41:16
4
Look at the prime decompositions of each
8 = 2*2*2
12 = 2*2*3
Now look at all the terms in common.
They both have at least two 2's.
They share a factor of 4.
What is left after removing 4?
8/4 = 2
12/4 = 3
There is nothing left in common now.
So the greatest common factor is 4.
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