Which is best?
depends on your interests and what YOU are specifically looking for in a school, but the most “prestigious” would be Georgetown; i would argue that in this case, prestige plays into the fact that Georgetown has the best opportunities on account of top-notch professors, academic rigor, etc. but again, whatever is best for you depends on what you’re into. hope that helps!
If you appear “overqualified” for GWU or especially AU, be sure to show a high level of interest. They do not want to be “safeties” behind more selective schools like GU.
In most things and overall, Georgetown. But GWU and American are quality schools too, and if you felt the fit was better at one of them than at Georgetown – or if they came out saving you a lot of money over G’town – I think you’d be justified in choosing that school instead.