43. If x and y and are positive integers such that the greatest common factor of x2y2 and xy3 is 45, then which of the following could y equal?

Answer and Explanation

Your Answer is

Correct Answer is E

Explanation

This question focuses on the nature of the greatest common divisor. For x2y2 and xy3, the greatest common divisor is : xy2. If xy2=45, there are two solutions: x = 45, y = 1; x =5, y = 3. According to the answer, y = 3 is deduced.