Question

Use the GCF to factor this expression.40x + 24y - 56

Answer 1

The given expression is,

`40x+24y-56`

The factors of 40, 24 and 56 are,

`\begin{gathered} 40\colon2,4,5,8,10 \\ 24\colon2,4,3,8 \\ 56\colon2,4,7,8 \end{gathered}`

The greatest common factor is therefore, 8.

Therefore, the given expression can be written as,

`(8*5)x+(8*3)y-(8*7)`

Taking 8 as common, we have,

`8(5x+3y-7)`