the lifting capacity of a hydraulic crane is based on two primary design factors what are they?
Stability(when it tips) and mechanical structure (when it breaks). Bomba is right: when it comes to a simple hydraulic cylinder. The complete crane is a more complex beast than that though.
The potential lifting force of a hydraulic crane is primarily based on the diameter of the piston and on the pressure of the oil. Everything else is subservient, but necessary.