Based on the the type and quality of search that you are relying on the browser, sometimes decides its compatibility.
When it comes to some advanced search, Chrome give you better results compared to Mozilla. But at the same time, if you are making use of more web pages at a time, there is higher chance of Chrome getting crashed and closes automatically.
Prefer Mozilla- for experiencing more privacy, security and quality extensions because Firefox is more customizable .
Prefer Chrome-if your are a developer, as it offers smooth search and syncing capabilities.