I think that the most powerfull engine (TURBO FAN) ever made that is under production is the GE90-115B.
Specifically designed for the Boeing 777, the GE90-115B holds the world record for thrust totalling 127,900 pounds of thrust.
"The most powerful derivative of the GE90, the GE90-115B, is the sole
powerplant for Boeing's longer-range 777-300ER. The GE90-115B certified
at 115,000 lbs. of thrust and has broken a number of aviation records.
The
GE90-115B derated to 110 lbs. of thrust (GE90-110B) powers the Boeing
777-200LR and the world's largest, most capable twin-engine freighter
-- Boeing's 777 Freighter. The 777 Freighter will offer unsurpassed
efficiency to long-haul markets and provide more capacity than any
other twin-engine freighter."
GE Website
The Guinness Book of World Records recognized the engine as the
"World's Most Powerful Commercial Jet Engine" in 2001 after it recorded
an amazing 123,000 lbs. of steady-state thrust while undergoing initial
ground testing. In late 2002, the engine shattered its original record
by reaching 127,900 lbs. of thrust during required certification
testing.