Question 13291
Think of how you would find the GCF of the two numbers.
You would write each one as the product of prime factors like this.

Number one = 2 X 5 X 5 X 17 X m
Number two = 2 X 5 X 5 X 17 X n

2 X 5 X 5 X 17 occurs in both expressions because their product is 850, the GCF of the two numbers.

We get the numbers to be small by making m and n as small as possible. One of them will be 2 and the other will be 3. So the numbers are 850 X 2 = 1700 and  850 X 3 = 2550.