Answer:
Step-by-step explanation:
We are find two factors of 30 if when multiplied together will give 30 with a>b
when a = 30, b = 30/30 =1 where 30>1
The first pair of positive integers is (30, 1)
If a = 15
b = 30/15 = 2 where 15< 2
One of the factors is 2 and 15. The product of 2 and 15 is 30
Also if a = 10, b = 30/10 = 3
where 10>3
Another factor is 3 and 10. The product of 3 and 10 is also 30
If a = 6, then b = 30/6 = 5.
The two pairs of positive integers are 5 and 6 where 6>5 and the product of 6 and 5 is 30.
The different pair of positive integers (a, b) are;
(30, 1), (15, 2), (10, 3) and (6, 5)
Hence there are 4 different pairs of positive integers (a,b), with greatest common factor of 1,
