What are the Grasmere, Idaho Zip Codes for 2020, 2019Primary Zip Codes for GrasmereZip CodePrimary CitySecondary City83604BruneauGrasmere, Bruneau Valley, RiddleCities sharing Zip Codes with GrasmereZip CodePrimary CitySecondary CityMore Information83604BruneauGrasmere83604BruneauRiddle83604BruneauBruneau ValleyAdvertisements