I'm using both on a site and getting very different numbers from each. Why is this?
The discrepancy is also mentioned in a Quora answer (Which is better, Facebook Insights or Google Analytics?)
Footnote: if you decide to use both, do not report them side-by-side, and never expect them to match. Trying to explain the differences will drive you mad.
Could someone explain?
Different web analytics products use diferent methods to track data on the site. These differences between them is the reason why is hard do do a side-by-side comparison.
On the two links bellow you can find more info about that:
Why does Google Analytics report different values than some other web analytics solutions?
Using Google Analytics & Facebook Domain Insights to Track Social Actions on Your Website