Black Mold on Bathroom Ceiling

[Adam Michael]

I have a multi-family and the first floor bathroom seems to be developing black mold on the ceiling (slowly).  There is a bathroom fan but it seems the condensation is still building up too quickly.  The ceiling is a white, stucco type.  Aside from cleaning the bathroom first and getting mold resistant paint, is there anything else you all would recommend doing? Should I repaint the entire bathroom? Or get a fan with a heater (tenant question)?

Any help is much appreciated, thank you in advance.

[Justin Godlewski]

I've begun installing a fan switch that automatically senses the humidity in the bathroom and turns the fan on or off automatically depending upon the humidity level. I get them at Lowes.