Question

Find the greatest common factor for the list of monomials.x4y5z5, y3z5, xy3z2The GCF is

Answer 1

We have three monomials:

`\begin{gathered} I)x^4y^5z^5 \\ ^{}II)y^3z^5 \\ III)xy^3z^2 \end{gathered}`

The only variables common to all three monomials are y and z.

The smallest index of y is 3 and the smallest index of z is 2

Therefore, the greatest common factor is:

`y^3z^2`