Final answer:
The Minoans, a seafaring civilization based on the island of Crete, had the most influence on the Mycenaean Greeks, providing cultural, administrative, and artistic contributions that were adopted and blended by the Mycenaeans.
Step-by-step explanation:
The civilization that had the most influence on the developing civilization of the Mycenaean Greeks was the Minoans. The Minoans were a significant seafaring civilization based on the island of Crete in the Mediterranean. They were well-known for their trade and cultural exchange with other Mediterranean civilizations. The Mycenaean civilization developed in mainland Greece and were known as great merchants and raiders, with a culture centered on the authority of a single ruler. The Mycenaeans adopted many aspects of Minoan culture, including artistic techniques, trade practices, and their writing system. Ultimately, the Minoans were conquered and absorbed by the Mycenaeans, merging their cultures into a blend that would influence later Greek civilizations.