What is the greatest positive integer \(n\) such that \(2^n\) is a factor of \(12^{10}?\)

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What is the greatest positive integer \(n\) such that \(2^n\) is a factor of \(12^{10}?\)

A) 10
B) 12
C) 16
D) 20
E) 60

Answer: D

Source: GMAT Paper Tests