# SOLUTION: Can someone help me with this problem? I need to find the GCF (greatest common factor) for each groups of numbers: 36, 54, and 180 Thanks, Sher

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 Click here to see ALL problems on expressions Question 45679: Can someone help me with this problem? I need to find the GCF (greatest common factor) for each groups of numbers: 36, 54, and 180 Thanks, SherAnswer by stanbon(57967)   (Show Source): You can put this solution on YOUR website!36, 54, and 180 Write each in prime-factor form, as follows: 36= 2^2 * 3^2 54= 2 * 3^3 180 = 2^2 * 3^2 * 5 The GCF must contain the lowest prime power factors common to all the numbers: GCF = 2 * 3^2 = 18 It doesn't have a 2^2 because 2^2 is not common to all three numbers. It doesn't have a 3^3 for the same reason. It doesn't have a 5 for the same reason. Cheers, Stan H.