Methods and apparatuses are provided for isomerizing a hydrocarbon stream. The method includes isomerizing a hydrocarbon stream in a reactor to produce an intermediate isomerized stream. The intermediate isomerized stream is fractionated to produce an off gas stream and a heavy isomerized stream, where the off gas stream includes an off gas recycle stream. The off gas recycle stream is dried in an off gas dryer to produce a hydrogen recycle stream, where the off gas drier includes an off gas dryer membrane separating the off gas recycle stream from an off gas purge stream. The off dryer membrane includes a perfluorosulfonated ionomer. The hydrogen recycle stream is then fed into the reactor.