Bunuel wrote:

The greatest common factor of positive integers m and n is 12. What is the greatest common factor of (2m^2, 2n^2)?

A. 2

B. 12

C. 24

D. 144

E. 288

Kudos for a correct solution.

Kinda dorky, but I'm all for simple if it works. I just wrote out, in stages, what factors m and n had to have.

LCM of m and n is 12

12 = 2 * 2 * 3

m: 2, 2, 3

n: 2, 2, 3

Variables squared? Each number has exactly one copy, so

m\(^2\): 2, 2, 3,

2, 2, 3n\(^2\): 2, 2, 3,

2, 2, 3Then each term * 2?

2m\(^2\): 2, 2, 3, 2, 2, 3,

22n\(^2\): 2, 2, 3, 2, 2, 3,

2Both have 2\(^5\), 3\(^2\). (32 * 9) = 288

Answer E

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