math
posted by vincent .
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?

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. 
Is it 4?

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.
Respond to this Question
Similar Questions

Algebra
I need a step by step explanation of finding the GCF of (6ysquare 3y)(y+7) The greatest common factor, or GCF, is the greatest factor that divides two numbers. ... If there are no common factors, the GCF is 1. That is the situation … 
mat 117/algebra
Find the GCF of each product. Please show the steps so I can work the problem by myself. it is 6y squared  3y (6y^23y)(y+7) 3y(2y1)(y+7) 3y will be the greatest common factor, as each term when you multiply it out will have a 3y. … 
6th garde Math :)
what is the greatest common factor (GCF) of 25 ; 50 
math===pls. help==
For numbers less than 40, list each pair of numbers that has a greatest common factor (GCF) of 12. 
math
Can two numbers have more than one greatest common factor(GCF)? 
mathalgebra
How do you find the GCF (greatest common factor) of m^8n^4 and 3m^6n? 
help math algebra
How do you find the GCF (greatest common factor) of m^8n^4 and 3m^6n? 
Math
What is the GCF(greatest common factor) of 9 and 25 
Factor out the Greatest Common Factor (GCF)
Factor out the Greatest Common Factor (GCF): 45d^318d^2 
GCF
adding and subtraction number using greatest common factors 940420=?