Question

Find the greatest common factor of these two expressions. 24w^3 u^7 v^8 and 20w^6 u

Answer 1

The given expressions are

`\begin{gathered} 24w^3u^7v^8 \\ 20w^6u \end{gathered}`

The greatest common factor between the coefficients is 4 because that the greatest factor they have in common as you can observe below

`\begin{gathered} 24=2\cdot2\cdot2\cdot3 \\ 20=2\cdot2\cdot5 \end{gathered}`

The greatest common factor between variables is

`w^3u`

Hence, the greatest common factor of both expressions is

`4w^3u`