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We introduce GalWeight, a new technique for assigning galaxy clustermembership. This technique is specifically designed to simultaneously maximizethe number of bona fide cluster members while minimizing the number ofcontaminating interlopers. The GalWeight technique can be applied to bothmassive galaxy clusters and poor galaxy groups. Moreover, it is effective inidentifying members in both the virial and infall regions with high efficiency.We apply the GalWeight technique to MDPL2 \& Bolshoi N-body simulations, andfind that it is $> 98\%$ accurate in correctly assigning cluster membership. Weshow that GalWeight compares very favorably against four well-known existingcluster membership techniques (shifting gapper, den Hartog, caustic, SIM). Wealso apply the GalWeight technique to a sample of twelve Abell clusters(including the Coma cluster) using observations from the Sloan Digital SkySurvey. We end by discussing GalWeight's potential for other astrophysicalapplications.

GalWeight: A New and Effective Weighting Technique for Determining Galaxy Cluster and Group Membership