A storage device includes a controller and a memory. In response to a request of a host, the controller generates: (A) a first list as a result of counting: (1) the number of first page numbers included in a first range among page numbers included in a logical address received from the host and (2) the number of second page numbers included in a second range not overlapping the first range, (B) generates a second list as a result of respectively grouping the first page numbers and the second page numbers based on the first list, and (C) translates the logical address to a physical address based on the second list and the first map data. The memory stores the first map data to be provided to the controller. The first map data matches the first page numbers and the second page numbers with respective physical addresses.