Disclosed herein are azeotrope and near-azeotrope compositions comprising E-1,3,3,3-tetrafluoropropene and hydrogen fluoride. These azeotrope and near-azeotrope compositions are useful in processes to produce E-1,3,3,3-tetrafluoropropene and in processes to purify E-1,3,3,3-tetrafluoropropene from mixtures of E-1,3,3,3-tetrafluoropropene with 1,1,1,3,3-pentafluoropropane and/or with hydrogen fluoride.