Divisible by this year??? (Part 2: Factorials)

n!n! or nn-factorial is the product of all integers from 11 up to nn (n!=1×2×3×...×n)(n! = 1 \times 2 \times 3 \times ... \times n). Find the maximum integral value of kk such that 2014k2014^k divides 2014!2014!

You may also try this problem: Divisible by this year???

This problem is part of the set "Symphony"

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