names. Safeway Inc.  1,458 stores. Besides the parent company, some stores are operated under the  Carrs ,  Dominick's ,  Genuardi's ,  Pavilions ,  Randalls ,  Tom Thumb , and  Vons . Sam's Club  600 stores Kmart Supercenters  26 locations SuperValu Inc.  2,398 locations. The  Save-A-Lot  name is by far the most common,