What is greatest positive integer n such that 2^n is a factor of 12^14?  Choose the correct choice from the following choices:
A) a)10  B) b)12  C) c)16  D) d)20  E) e)28
The given number is 12^14   =(2*2*3)^14   =(2^28)*(3^14)   So the greatest possible value for n such that 2^n can be factor of given number is 28.   Answer e)28
<result>E</result>
What is greatest positive integer n such that 2^n is a factor of 12^14?