conocer: conozco, conoces, conoce, conocemos, conocéis, conocen
saber: sé, sabes, sabe, sabemos, sabéis saben
Conocer indicates familiarity or recognition and is mostly used for people and places:
|No conocemos al presidente.
|We don't know the president.
Do you know Acapulco?
Saber means to be aware of facts or information, to know things by heart, and also to "know how to":
|No saben nadar. ¡No sé qué decir!
No sé dónde está.
|They can't swim. I don't know what to say!
I don't know where it is.
Two useful rules:
1. One cannot saber people.
2. The verb conocer cannot be immediately followed by que.
Conozco a esa mujer. Sé que vive en Nueva York.
I know that woman. I know she lives in New York.