777 engines and thrust ratings as follows:
777-200:
RR Trent 877, rated at 76,900 lb thrust
777-300:
RR Trent 892, rated at 84,000 lb thrust (the basic engine is rated at 92,000 lb thrust, but CX engines are rated at the lower thrust. The full thrust isn't needed for the CX operation because the aircraft have a lower MTOW of 263T. The lower thrust rating reduces costs.)
777-300ER:
GE90-115BL2, rated at 115,000 lb thrust