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

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

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