Most of the "Facebook famous" people that come across my news feed are blogs or websites that are already established and have a large following. However, one of the best ways to gain popularity on FB is making something interesting, engaging, and different. Facebook is saturated with cooking videos, viral news videos, and DIY. So your options are to try and hop on one of those bandwagons and hope you can ride that wave, or come up with something so different and amazing that people can't help but be interested.
Like mdbree17 said, it'll start with the real people in your life. What are your FB friends sharing and liking? How can you grasp their attention and give them something that they want to spread? Study up and go from there. Good luck with your endeavors!