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For any positive integer \(n\) greater than \(1, n!\) denotes the product of all the integers from \(1\) to \(n,\) inclu

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For any positive integer \(n\) greater than \(1, n!\) denotes the product of all the integers from \(1\) to \(n,\) inclusive.
If \(A\) is a positive integer such that the greatest number that divides both \(A^3\) and \(13!\) is \(448,\) which of the following can be the value of \(A?\)

A. 14
B. 56
C. 140
D. 196
E. 448

Answer: D

Source: e-GMAT
Source: — Problem Solving |