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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?

  • math -

    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.

  • math -

    Is it 4?

  • math -

    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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