The country whose territories include both Greenland and the Faroe Islands is Denmark. Greenland is the largest island in the world, while the Faroe Islands consist of a group of islands located in the North Atlantic Ocean. Both territories are self-governing but are part of the Kingdom of Denmark. Greenland is known for its vast tundra and ice-covered landscapes, while the Faroe Islands are celebrated for their rugged cliffs and rich marine life. This relationship highlights Denmark's historical connections and geographic diversity while illustrating the unique cultural identities of these territories.