The greatest common factor of \(16\) and the positive integer \(n\) is \(4,\) and the greatest common factor of \(n\)

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The greatest common factor of \(16\) and the positive integer \(n\) is \(4,\) and the greatest common factor of \(n\) and \(45\) is \(3.\) Which of the following could be the greatest common factor of \(n\) and \(210?\)

A. 3
B. 14
C. 30
D. 42
E. 70

Answer: D

Source: Manhattan GMAT