A keyless entry system for use with conventional locksets is provided. The system employs a battery operated motor and a gear train mounted on the inside of a door. The motor and gear train rotate the inside handle of the lockset in the same manner as a user would rotate the handle to unlatch the door. Misalignments between the gear train and the lockset are accommodated by a pawl which connects the gear train to the connecting shaft between the lockset's inside and outside door handles. The electric motor is activated by a control system responsive to a RF signal generated by a transmitter pendant carried by the user. The RF signal includes a user code, and the control system has a learning mode and an operating mode, with the learning mode serving to record a list of one or more authorized user codes and the operating mode employing that list to determine if the door should be unlatched in response to a particular user code.