Question

Find the greatest common factor of the following terms. 20x^5,80x^6, and 30x

Answer 1

10x

Explanation:

Given the terms: 20x⁵, 80x⁶, and 30x

In order to find the greatest common factor, express each of the terms as a product of its factors.

`\begin{gathered} 20x^5=10x*2x^4 \\ 80x^6=10x*8x^5 \\ 30x=10x*3 \end{gathered}`

Observing the three products, 10x is the only common factor,

Therefore, the greatest common factor is 10x.