We report on our experiments in factoring integers from 50 to 200 bit with the NFS postsieving stage or class group structure computations as potential applications. We implemented, with careful parameter selections, several general-purpose factoring algorithms suited for these smaller numbers, from Shanks's square form factorization method to the self-initializing quadratic sieve, and revisited the continued fraction algorithm in light of recent advances in smoothness detection batch methods. We provide detailed timings for our implementations to better assess their relative range of practical use on current commodity hardware.