**Answer:**

<h3>4</h3>

**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)

<em>**Hence there are 4 different pairs of positive integers (a,b), with greatest common factor of 1,**</em>