What is the greatest common factor of 4xy {}^(2) and \: 20x^(2)y^(4)

Question

What is the greatest common factor of
`4xy {}^(2) and \: 20x^(2)y^(4)`

Answer 1

The given expressions are

`\begin{gathered} 4xy^2 \\ 20x^2y^4 \end{gathered}`

The greatest common factor between 20 and 4 is actually 4.

The greatest common factor between the variables is

`xy^2`

Hence, the greatest common factor between the whole expressions is

`4xy^2`