[Someone]

https://en.wikipedia.org/wiki/Cliff#Large_and_famous_cliffs:

"Considering a truly vertical drop, Mount Thor on Baffin Island in Arctic Canada is often considered the highest at 1370 m (4500 ft) high in total (the top 480 m (1600 ft) is overhanging), and is said to give it the longest vertical drop on Earth at 1,250 m (4,100 ft). However, other cliffs on Baffin Island, such as Polar Sun Spire in the Sam Ford Fjord, or others in remote areas of Greenland may be higher."

I would guess many of those are at heights or in climates that make climbing without gear a no-go because, even assuming you don't need gloves, you would need too much clothing to stay warm.