Chapter 4.3, Problem 63E

To determine

To find the greatest common factor.

Answer to Problem 63E

  $5r$

Explanation of Solution

Given information: $10r,25r^4$

Formula Used: Factorisation

Calculation:

Given numbers are $10r$ and $25r^4$

Factors of $10r$ are $2\times 5\times r$

and

Factors of $25r^4$ are $5\times 5\times r\times r\times r\times r$

So,

Notice that  $10r$  and $25r^4$ have one factor of 5 and one factor of $r$ in common. Therefore, their greatest common factor is  $5\times r=5r$