If y = 35p, and p is prime, what is the greatest common factor of y and 14p, in terms of p?  Select
A) p  B) 2p  C) 5p  D) 7p  E) p^2
y = 35p = 5*7*p   14p = 2*7*p   The greatest common factor of 35p and 14p is the product of all the common prime factors, using the lower power of repeated factors. The greatest common factor is 7*p = 7p   The answer is 7p.
<result>D</result>
If y = 35p, and p is prime, what is the greatest common factor of y and 14p, in terms of p?