Quick answer
saber = facts, information, and how to do something.
conocer = people and places you are acquainted with.
Side by side
Sé quién es Ana.I know who Ana is — a fact.
Conozco a Ana.I know Ana — we have met.
Memory trick
If the answer is information, it is saber. If the answer is a handshake, it is conocer.
Typical mistakes
Sé a María.
Conozco a María.
People are conocer.
Conozco que viene.
Sé que viene.
A fact in a que-clause is saber.
Check yourself
¿___ a mi hermano?