Given that the product of two positive integers is 44, and their least common multiple is 22, what is their greatest common divisor?

2

Step-by-step explanation:

For any positive numbers a,b we always have the following identity:

(gcd(a,b) denotes the greatest common divisor between a and b, and lcm(a,b) denotes the least common multiple between a and b)

In our case, we are given that and that . Plugging that in into our identity, we get:

And so solving for :