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I generally try to use Apple Maps, because using it also helps Apple update it's usage maps & I trust them more than I do Google this facet of my online data. I rarely see much difference between it & Google Maps (at least for France, west coast U.S. & east coast U.S.). However, there are a few differences:
Apple Maps has indoor locations like Malls, airports, etc.
Apple Maps has Public Transport
Google Maps shows the general traffic conditions & not just those of the selected route
Google Maps finds obscure addresses better
Google Maps can download local maps for when you're without a data connection
 
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