There is a student discount plan for ShareLaTeX which makes the plans quite similar in price. There is no clear winner between the two services which are both really nice! The paid plans for writeLaTeX are a bit more affordable, and it gives a few more free features. For example: If you write begin line (backslashes omitted due to MathJax issues)
ShareLaTeX gives you 11 users for 15$/month and unlimited for 30$/month.Consequently I have tried to compile a description of the differences. Recently I was asked about the difference between the two after I had recommended ShareLaTeX which I was using myself, and had no luck finding a good overview of the differences between the two services. Two of the most prominent sites for this are ShareLaTeX and writeLaTeX, which are very similar. One of the newer LaTeX-related innovations is the possibility to use online editors to manage your LaTeX projects.
As most researchers and students of technical degrees, I have used LaTeX for a long time.