Question: Which mountain peak has the higher elevation, Gasherbrum I or K6?

Context paragraphs:
Gasherbrum: Gasherbrum (Urdu: گاشر برم‎ ) is a remote group of peaks located at the northeastern end of the Baltoro Glacier in the Karakoram range of the Himalaya on the border of the Chinese-administered Shaksgam Valley and the Gilgit-Baltistan territory of Pakistan.  The massif contains three of the world's 8,000 metre peaks (if Broad Peak is included).  Although the word "Gasherbrum" is often claimed to mean "Shining Wall", presumably a reference to the highly visible face of Gasherbrum IV, it comes from "rgasha" (beautiful) + "brum" (mountain) in Balti, hence it actually means "beautiful mountain".

Nazir Sabir: Nazir Sabir Urdu: نذیر صابر is a Pakistani mountaineer.  He was born in Hunza.  He has climbed Mount Everest and four of the five 8000 m peaks in Pakistan, including the world's second highest mountain K2 in 1981, Gasherbrum II 8035m, Broad Peak 8050m in 1982, and Gasherbrum I (Hidden Peak) 8068m in 1992.  He became the first from Pakistan to have climbed Everest on 17 May 2000 as a team member on the Mountain Madness Everest Expedition led by Christine Boskoff from USA that also included famed Everest climber Peter Habeler of Austria and eight Canadians.

Overlook Mountain: Overlook Mountain is the southernmost peak of the Catskill Escarpment in the central Catskill Mountains near Woodstock, New York.  Centerpiece of the 590 acre Overlook Mountain Wild Forest area of Catskill Park, the mountain is the site of one of the remaining five Catskill Mountain fire towers and the Overlook Mountain House, a hotel which was built at a higher elevation than any other in the range.

Rongme Ngatra: Rongme Ngatra is the highest peak of the Chola Mountains in the Kham region of western Sichuan, China.  The peak's name in Mandarin Chinese is Que Er Shan () also the same name as the entire range, which has led to some translations of the mountain peak to Chola Mountain.  At 6,168 m , the mountain is the highest peak in the Chola Mountains, as well as the second highest in the greater Shaluli Mountains after Ge'nyen.  The mountain peak is flanked by glaciers to the north and east.  The north glacier terminates at 4,100 m above sea level, just above the nearby lake Yihun Lhatso.  Rongme Ngatra can be accessed from the town of Manigango in Dege County, Garze Prefecture.

Machulo La: Machulo La is a mountain view point which is considered the most easiest way to view some of the most highest peaks of Himalayas and Karakoram mountains in a single glance such as K2, Broad Peak, Gasherbrum-I, Gasherbrum-II, Gasherbrum III, Gasherbrum IV, K7, K6 and Nanga Parbat.

Falak Sar (Swat): Falak Sar (Urdu: فلک سر‎ ; also known as Falak Sair) is the highest mountain peak in Ushu Valley of Swat, Pakistan at an elevation of 5918 m , it is considered the highest peak of the Swat district in the Hindu Kush mountains range, followed by Mankial mountain peak.

K6 (mountain): Surveyed as K6 (Urdu: کے 6‎ ), but also known as Baltistan Peak.  This is a notable peak of the Masherbrum Mountains, a subrange of the Karakoram mountain range in Gilgit Baltistan region of Pakistan.  Despite being much lower than its sister mountains, the Eight-thousanders and high 7000m peaks such as Masherbrum, it has huge, steep faces, and great relief above the nearby valleys.

Burji La: Burji La (or Burji Pass) is a natural pass in mountains between Skardu and Deosai National Park in Gilgit Baltistan, Pakistan.  Its elevation is 4816 meters.  It is famous especially for its beautiful panoramic view of so many mountain peaks, including that of K2, Nanga Parbat, Masherbrum, Chogolisa, Laila Peak, Golden Peak, Gasherbrum I, Gasherbrum II, Gasherbrum IV and a part of Broad Peak mountain.

Gasherbrum I: Gasherbrum I (Urdu: ‎ ; ), surveyed as K5 and also known as Hidden Peak, is the 11th highest mountain in the world at 8080 m above sea level.  It is located on the Pakistani–Chinese border in Gilgit–Baltistan region of Pakistan and Xinjiang region of China.  Gasherbrum I is part of the Gasherbrum massif, located in the Karakoram region of the Himalaya.  Gasherbrum is often claimed to mean "Shining Wall", presumably a reference to the highly visible face of the neighboring peak Gasherbrum IV; but in fact it comes from "rgasha" (beautiful) + "brum" (mountain) in Balti, hence it actually means "beautiful mountain."

Snowmass Peak: Snowmass Peak in the U.S. state of Colorado dominates the view from Snowmass Lake.  It is often mistaken for Snowmass Mountain, the thirty-fourth highest mountain peak in the state, as well as for Hagerman Peak.  Snowmass Peak is not really a peak but the lower end of Hagerman Peak's east ridge.  Natural forced perspective causes the optical illusion that Snowmass Peak is higher than Hagerman Peak though it is actually 221 ft shorter than Hagerman's summit.  This illusion combined with its striking rise behind Snowmass Lake justifies it being a named point on USGS topographical maps.  It is located in the Elk Mountains, within the Maroon Bells-Snowmass Wilderness of the White River National Forest.  It lies along the border between Pitkin and Gunnison counties, west of Aspen and southwest of the town of Snowmass Village.

Supporting paragraphs: Gasherbrum I K6 (mountain)
Answer: Gasherbrum I