Posted by **vincent** on Tuesday, August 19, 2014 at 8:08pm.

58. Let GCF (x,y) represent the greatest common factor of x any y. If p is a positive even integer less than 11, for what value of p does GCF (p^2,81) have the greatest value?

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**Steve**, Tuesday, August 19, 2014 at 11:50pm
I'd make that 6, since 81 = 3^4.

p^2 must have some powers of 3 in it, else GCF(p^2,81) = 1.

GCF(36,81) = 9

9 would be better, but we needed an even integer.

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**vincent**, Wednesday, August 20, 2014 at 12:04am
Is it 4?

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**Steve**, Wednesday, August 20, 2014 at 6:01am
hmmm. Is it 4?

Is 4^2 = 36?

Does 4 have 3 as a factor?

Better read what I wrote, and this time pay attention.

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