Middle English word rem comes from Proto-Indo-European *rew-, and later Proto-Germanic *raumaz (Cream. Skin; film.)

Detailed word origin of rem

Dictionary entry	Language	Definition
*rew-	Proto-Indo-European (ine-pro)
*rewgʰmen-	Proto-Indo-European (ine-pro)
*raumaz	Proto-Germanic (gem-pro)	Cream. Skin; film.
rēam	Old English (ang)
ryme	Middle English (enm)

Words with the same origin as rem