There were many factors behind relative strengths of the British, French, and Spanish empires in North America.
Spanish
Converted many to gain power, they had a strong navy and had control over resources such as gold and silver and hence controlled central America and Caribbean.
British
Had lots of land expansion and lots of Cash crops. They had more people living in the colonies and more land.
French
The Fact that the French could succeed in trade. Fur trade and good relations with the Natives for the most part. Champlain made alliances with the Algonquins and the Montagnais of the St. Lawrence and the Hurons of the Great lakes. They also had access to Missisippi.
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