Receptor that mediates peroxisomal import of proteins containing a C-terminal PTS1-type tripeptide peroxisomal targeting signal (SKL-type) (PubMed:11101887, PubMed:11336669, PubMed:12456682, PubMed:16314507, PubMed:17157249, PubMed:17428317, PubMed:21976670, PubMed:26344566, PubMed:7706321, PubMed:7719337, PubMed:7790377). Binds to cargo proteins containing a PTS1 peroxisomal targeting signal in the cytosol, and translocates them into the peroxisome matrix by passing through the PEX13-PEX14 docking complex along with cargo proteins (PubMed:12456682, PubMed:17157249, PubMed:21976670, PubMed:26344566). PEX5 receptor is then retrotranslocated into the cytosol, leading to release of bound cargo in the peroxisome matrix, and reset for a subsequent peroxisome import cycle (PubMed:11336669, PubMed:24662292). {ECO:0000269|PubMed:11101887, ECO:0000269|PubMed:11336669, ECO:0000269|PubMed:12456682, ECO:0000269|PubMed:16314507, ECO:0000269|PubMed:17157249, ECO:0000269|PubMed:17428317, ECO:0000269|PubMed:21976670, ECO:0000269|PubMed:24662292, ECO:0000269|PubMed:26344566, ECO:0000269|PubMed:7706321, ECO:0000269|PubMed:7719337, ECO:0000269|PubMed:7790377}. [Isoform 1]: In addition to promoting peroxisomal translocation of proteins containing a PTS1 peroxisomal targeting signal, mediates peroxisomal import of proteins containing a C-terminal PTS2-type peroxisomal targeting signal via its interaction with PEX7 (PubMed:11336669, PubMed:11546814, PubMed:25538232, PubMed:33389129, PubMed:9668159). Interaction with PEX7 only takes place when PEX7 is associated with cargo proteins containing a PTS2 peroxisomal targeting signal (PubMed:25538232). PEX7 along with PTS2-containing cargo proteins are then translocated through the PEX13-PEX14 docking complex together with PEX5 (PubMed:25538232). {ECO:0000269|PubMed:11336669, ECO:0000269|PubMed:11546814, ECO:0000269|PubMed:25538232, ECO:0000269|PubMed:33389129, ECO:0000269|PubMed:9668159}. [Isoform 2]: Does not mediate translocation of peroxisomal import of proteins containing a C-terminal PTS2-type peroxisomal targeting signal. . This is the function of PEX5 (peroxisomal biogenesis factor 5, ENSG00000139197).