Question

Two monomials are shown below.18x³y 30x22What is the greatest common factor (GCF) of thesemonomials?

Answer 1

The given monomials are:

`\begin{gathered} 18x^3y \\ 30x^2y^2 \end{gathered}`

Factorizing each term, we get,

`\begin{gathered} 18x^3y=2*3*3* x^2* y \\ 30x^2y^2=3*2*5* x^2* y^2 \end{gathered}`

Therefore, the GCF is,

`\text{GCF}=6x^2y`