What is the greatest common factor of xy, x^3, and X^6y?

1 Answer
NJ
Jun 23, 2018

#=>x#

Explanation:

The greatest common factor is the largest power of each variable that goes into each of the terms.

We are given #xy#, #x^3#, and #x^6y#

We notice we have #x#, #x^3# and #x^6#, so we have a greatest factor of #x#.

We notice we have #y#, #y^0#, and #y#, so we have a greatest factor of #y^0# or #1# (it is not present in the second term).

So the GCF here is #x#.

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