Write a program that prompts the user to enter two positive integers and finds their greatest common divisor. Solution: Suppose you enter two integers 4 and 2, their greatest their common divisor is 2. Suppose you enter two integers 16 and 24, greatest common divisor is 8. So how do you find the greatest common divisor? Let the two input integers be n_1 and n_2. You known number 1 is a common divisor, but it may not be the greatest commons divisor. So you can check whether k (for k = 2, 3, 4, and so on) is a common divisor for n_1 and n_2, until k is greater than n_1 or n_2