Chrome and Opera- Aw Snap/ Crashing Error on Literally Everything!

I bought the new Mac Pro this past summer and have never been able to get Chrome or Opera (latest versions of each) to work.

I have performed the steps suggested in the Google Help Center, including renaming the "Default" folder in Application Support/Google, and nothing has worked.

Interestingly, the exact same problem happens with Opera. Neither browser is usable at all. Chrome with the "Aw Snap" for every single page (including About, Help and Extensions) and Opera with the "Page Crashed" error message.

This has to be a solvable issue. I've posted repeatedly on the Google help forums and searched extensively, but found nothing yet, save a handful of people with the same issue.

What do these two programs have in common that could cause them both to completely fail?

By the way, Safari and Firefox work fine.

Thanks in advance for your help!

Mac OS X 10.9.4, Opera 25.0, Chrome 38.0.2125.104