请教一道DS题！

roseisred

For any integer nn greater than 1, factorial denotes the product of all the integers from 1 to nn, inclusive. It’s given that aa and bbare two positive integers such that b>ab>a. What is the total number of factors of the largest number that divides the factorials of both aa and bb?

(1) aa is the greatest integer for which 3a3a is a factor of product of integers from 1 to 20, inclusive.

(2) bb is the largest possible number that divides positive integer nn, where n3n3 is divisible by 96.











为啥A就满足了？