Then there is the issue of how they were written. Did the Holy Spirit speak to all 3 writers at different times in an isolated way? Or was one of the accounts used by the other two to compose theirs, all the while being led by the Holy Spirit? Luke 1:1-4 seems to tell us this. Which of the 3 was written first then? Mark or Matthew, because it couldn't have been Luke? If it was Mark first, then did Matthew use Mark as a basis to write his account?
You may think these are silly and overly critical questions of little or no importance, but I assure you that they are not. The way you view these issues will impact the way in which you view and understand the gospel accounts, either for the better or worse. These are age old questions, and ones that really do merit our study more than you may think.
If you have ever wondered why Matthew said it this way and Mark or Luke that way, among many other questions, then I encourage you to dive in to the study of these 3 Gospel accounts.
There has been a lot written on the topic already. May I suggest these resources as a good starting place:
Rethinking the Synoptic Problem - Dave Black
Jesus and the Gospels - Craig Blomberg
The Synoptic Problem - Dan Wallace (pdf)
Matthean Priority - Gary Derickson (pdf)
Interpreting the Synoptic Gospels - Scot McKnight