A large gear with 62 teeth rotates at 25 rpm. It turns a small gear with 21 teeth. How fast does the small gear rotate?

There is no greater common factor for the given numbers.

Step-by-step explanation:

The greatest common factor (GCF) is the largest positive integer that would divide a set of given numbers without a remainder.

Considering the factors of each number,

25 = 1 × 5 × 5

5 = 1  × 5

11 = 1  × 11

and

23 = 1  × 23

52= 2 × 2  × 13

7 = 1 × 7

Comparing the factors, there is no gcf among the given numbers.