Sloth Industry Sloth Info Page Two-toed Sloths | Three-toed Sloths | Picture Gallery Class: Mammalia Order: Xenarthra Suborder: Pilosa 1. First Family: Bradypodidae (Three Toed Sloth) Genus: Bradypus Species: Three Recent 2. Second Family: Megalonychidae (Two Toed Sloth) Genus: Choloepus Species: Two Difference Between Two and Three Toed Sloths: Besides the fact that one has two toes on its forelimbs and the other three, they have different numbers of vertebrae (three-toed ones have nine; two-toed ones have six or seven). Also, Three-toed sloths have a small tail and its forelegs are substantially longer than the rear ones. The two-toed sloths do not have tails and its front and back legs are closer to the same size.. The two-toed variety also has a shorter neck, larger eyes and move more between trees. (sloths switch trees for new leaves to eat).