I've done some Hybrid Mobile apps with both technologies
Apache Cordova and
React Native and described my experience in my blog.
In a few words, I would suggest to use each technology in accordance what what is your current code base and what do you want to achieve.
React Native is a great option if you need that extra edge in performance with multi-threading and native UI rendering. Or you already have a web app based on React which you want to port to mobile.
On the other hand, if you have an existing web application code and you want to reuse some or all, including the ability to use web third-party libraries, then Cordova is the best option.