The greatest common factor of positive integers m and n is 12. What is the greatest common factor of (2m^2, 2n^2)? Answers:	A) 2	B) 12	C) 24	D) 144	E) 288
Given : GCD of (m and n) = 12 = 2^2*3   i.e. m and n are both multiples of 2^2*3   i.e. m^2 and n^2 will both be multiples of (2^2*3)^2 = 2^4*3^2   i.e. 2m^2 and 2n^2 will both be multiples of 2(2^2*3)^2 = 2^5*3^2 = 288   Answer: Option 288
<result>E</result>
The greatest common factor of positive integers m and n is 12. What is the greatest common factor of (2m^2, 2n^2)?