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My guess is 11. The factorial of f(24) leaves us with 2^22*3^5*5^2*7^1*11^1. Being that a prime number has only two factors (1 and itself), the largest prime factor is 11.

Does F refer to factorial ? I'm not sure it means factorial because in the question, because it says F(12) = 2*4*6*8*10*12.
If F is factorial then F(12) = 12*11*9*8*7*6*5*4*4*2*1

No 'guest'...F does nt refer to factorial.....is is the product of the even integers less than or equal to the n in F(n)

thus F(24)=2.4.6.8.10.12.14.16.18.20.22.24

factorize.....u get 2.(2^2).(2.3).(2^3).(2.5).(2^2 *3)............n thus the pwers mentioned in the earlier post wid highes prim factor 11.........the answer......