Mount Everest (Himalayas) is the world's highest peak: 8,848.86 m (29,031.7 ft).
Rocky Mountains (North America) highest point: Mount Elbert, Colorado – 4,401 m (14,440 ft).
The Rockies are a vast range (4,800 km long); Everest is a single peak in the Himalaya range. Comparing a peak to a range is apples-to-oranges—but by summit elevation, Everest dwarfs any Rocky Mountain peak.