Greatest extent the French could have colonized in North America?

Starforce

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What is the Greatest extent the french could have colonized in North America? And how would it be made into a long lasting effect?
 
1) If France wins the Seven Years War, it could get:

- All of Canada (even Hudson Bay, Nova Scotia, etc.).
- All of Louisiana and the Ohio River Valley.
- Maine and parts of Upstate New York, New Hampshire and Vermont.
- Perhaps part of Western Virginia depending on treaties with the Shawnee/Cherokee.
- The Creek were slowly liking the French more than the British so trading posts in Alabama/Mississippi is possible.

2) In otl 1600s, French Hugenouts attempted to colonize Florida but we're driven out by the Spanish.

3) More French islands in the Carribean should be possible as well.
 
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