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For every positive odd integer n, the function g(n) is defined to be t

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I came across this question on gmatpill. Now i have seen a similar question for even integer product...how do we approach this one...?

For every positive odd integer n, the function g(n) is defined to be the product of all the odd integers from 1 to n, inclusive. If t is the smallest prime factor of g(99) +1, then t is?


(A) between 2 and 19
(B) between 20 and 39
(C) between 40 and 59
(D) between 60 and 79
(E) 80 or greater

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