Chapter 4.3, Problem 61E

To determine

To find the greatest common factor

Answer to Problem 61E

  $2x$

Explanation of Solution

Given information: $2x,8x^2$

Formula Used: Factorisation

Calculation:

Given numbers are $2x$ and $8x^2$

Factors of $2x$ are $2\times x$

and

Factors of $8x^2$ are $2\times 2\times 2\times x\times x$

So,

Notice that  $2x$  and $8x^2$ have one factor of 2 and one factor of $x$ in common. Therefore, their greatest common factor is  $2\times x=2x$