Question

Find the greatest common factor of these two expressions.

18x^5y^2 and 27x ^5y^8w^3

Answer 1

we can rewrite your monomials as follows:
\[\Large \begin{gathered}
18{x^5}{y^2} = 2 \times {3^2}{x^5}{y^2} \hfill \\
\\
27{x^5}{y^8}{w^3} = {3^3}{x^5}{y^8}{w^3} \hfill \\
\end{gathered} \]

Answer 2

now, you have to pick all common factors with the lowest exponent

Answer 3

for example:
is 2 a common factor?

Answer 4

the correct answer is 9x^5y^2

Answer 5

that's right!