Question;

Given that 2 is a generator of cyclic group U(25), find all generators.

how do i find other generator asides 2 please.

I am only conversant with the finding the mod which is very long with this question. Pls can someone enlighten me on how to get it done faster.

I am new to the cyclic group.

solution

U(25) = {1,2,3,4,6,7,8,9,11,12,13,14,16,17,18,19,21,22,23, 24}

2^20 = 1 (mod 25)

Thanks.