Selected answers from the Dumb SEO Questions Facebook & G+ community.
Yuliana Kronrod: I rely on Adobe Analytics Page not found report to prioritize 404s based on the number of hits the pages are getting (can`t possibly fix all errors for a multi language site). Is a similar report available in GA? Also look for important URL patterns for your site such as errors in the /products/ folder. According to John Mueller, GSC list of errors is prioritized so you can focus on top ones if no analytics is available.