clearly Georgetown's name is much more recognizable and it has a better reputation, if not being a better school in general. That said, other factors I'd consider are student's happiness, whether or not the atmosphere is competitive, and living expense. Georgetown's in a really expensive area of DC and you'd probably pay over a 1,000 a month in rent. That said though, it's in a really fabulous area of DC too. Drexel's in Philly, also expensive, but not as expensive. Idk what area of Philly Drexel is in, but read the Drexel vs Morehouse thread down below, Philly is dangerous. As is DC, but I know Georgetown is not in the hood, idk where Drexel is located.
I'd only pick Drexel over Georgetown if for some reason you thought you'd be much happier at Drexel, like if you didn't like the vibe at Georgetown, didn't think the teachers cared, students seemed hostile, or something. And Drexel seemed like a much better environment. That said some ppl would grin and bare Georgetown for the name but it's the next 4 years of your life...idk whether you think that's a long time or not.