Most frequent factor P21281

Write a procedure

    void factor(int n, int& f, int& q);

to store in @f@ the most frequent factor of @n@, and store in @q@ how many times it appears. If there is a tie, choose the smallest factor. For instance, if called with @n@ $= 450 = 2^1 \cdot 3^2 \cdot 5^2$, the values after the call must be @f@ $=3$ and @q@ $= 2$.

Precondition

@n@ $\ge 2$

Observation

You only need to submit the required procedure; your main program will be ignored.