If n is a positive integer and the greatest common divisor of n and 16 is 4, and the greatest common divisor of n and 15 is 3, which of the following is the greatest common divisor of n and 60?	Choose the correct choice
A) 10	B) 12	C) 14	D) 18	E) 24
The greatest common divisor of n and 16 is 4 --&gt; n is a multiple of 4 but not a multiple of 8.   The greatest common divisor of n and 15 is 3 --&gt; n is a multiple of 3 but not a multiple of 5.   60=2*3*5*2 is divisible by 12. therefore the greatest common divisor is 12   12
<result>B</result>
If n is a positive integer and the greatest common divisor of n and 16 is 4, and the greatest common divisor of n and 15 is 3, which of the following is the greatest common divisor of n and 60?