Final answer:
The motivation that was NOT a factor for French and English voyages to the Americas in the 16th century was the search for new trade routes to the east.
Step-by-step explanation:
During the 16th century, several motivations drove French and English voyages to the Americas. These included economic gain, religious freedom, and the desire to expand territory. However, one motivation that was NOT a factor for both countries was the search for new trade routes to the east.