Question: Which mountain is taller, K2 or Broad Peak?

Context paragraphs:
Carlos Soria Fontán: Carlos Soria Fontán (Ávila, Spain, February 5, 1939) is a Spanish mountain climber who, at 77 years of age, has taken up the challenge of becoming the oldest person in the world to reach the summits of the 14 highest mountains in the world.  He is the only mountaineer to have ascended ten mountains of more than 8,000 meters after turning 60, and he is the oldest person in history to have successfully climbed the K2 (65 years old), Broad Peak (68), Makalu (69), Gasherbrum I (70), Manaslu (71 years old), Kanchenjunga (75 years old) and Annapurna (77 years old).

1995 K2 disaster: The 1995 K2 disaster was a mountaineering disaster on K2 in Pakistan, the world's second tallest mountain.  Six are reported to have died on August 13, 1995 on K2, largely related to bad weather especially reported high winds.  Scott Fischer of Mountain Madness was climbing Broad Peak at the time, and suggested that a contributing factor was combination of brutal cold and 100-mph-plus winds.

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.

Skil Brum: Skil Brum (Urdu: سکل برم‎ ), or Skilbrum, is a mountain in the Karakoram range in Gilgit–Baltistan, Pakistan, approximately 9 km (5 mi) west-southwest of K2.  It lies on the western side of the Godwin-Austen Glacier, roughly opposite Broad Peak.

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.

Maciej Berbeka: Maciej Berbeka (17 October 1954, Zakopane, Poland – 6 March 2013, Broad Peak, Baltistan) was a Polish mountaineer, mountain guide UIAGM and member of TOPR.  He and his teammate Tomasz Kowalski went missing on 6 March 2013 as they were descending from Broad Peak.  They were declared dead two days later.

Broad Peak: Broad Peak (Urdu: ‎ ) is the 12th highest mountain in the world at 8051 m above sea level.  The literal translation of "Broad Peak" to Falchan Kangri (ཨིྰན་ཨངརི་) is not accepted among the Balti people.  The English name was introduced in 1892 by the British explorer Martin Conway, in reference to the similarly named Breithorn in the Alps.

K2: K2 (Urdu: ‎ ), also known as Mount Godwin-Austen or Chhogori (Balti and Urdu: ‎ ), is the second highest mountain in the world, after Mount Everest, at 8611 m above sea level.  It is located on the China-Pakistan border between Baltistan, in the Gilgit-Baltistan region of northern Pakistan, and the Taxkorgan Tajik Autonomous County of Xinjiang, China.  K2 is the highest point of the Karakoram range and the highest point in both Pakistan and Xinjiang.

Rush Peak: Rush Peak is a mountain in the Karakoram mountain range of Central Asia.  It is located in the Nagar District of Gilgit-Baltistan, Pakistan.  While not a high peak by local standards, it is noteworthy as a remote trekking destination.  It can be reached via Nagar Valley and Hoper Village.  The peak can be accessed via Hoper Glacier (Bualtar Glacier) and Barpu Glacier.  The peak is relatively easy to climb in the summer months and ascents have been made by amateur climbers without proper mountaineering gear.  In winter, access to the mountain is made difficult by heavy snows.  The top of the peak provides stunning views of Miar Peak (6,824 m), Miar Glacier and Phuparash Peak (6,574 m).  On a clear day, one can look east and see some of the world's highest mountains, including K2 and Broad Peak.  At the mountain's base lies one of the world's highest alpine lakes, Rush Lake (4,694m).

Karakoram: The Karakoram, or Karakorum is a large mountain range spanning the borders of Pakistan, India, and China, with the northwest extremity of the range extending to Afghanistan and Tajikistan.  It is located in the regions of Gilgit–Baltistan (Pakistan), Ladakh (India), and southern Xinjiang (China), and reaches the Wakhan Corridor (Afghanistan).  A part of the complex of ranges from the Hindu Kush to the Himalayan Range, it is one of the Greater Ranges of Asia.  The Karakoram is home to the four most closely located peaks over 8000m in height on earth: K2, the second highest peak in the world at 8611 m , Gasherbrum I, Broad Peak and Gasherbrum II.

Supporting paragraphs: K2 Broad Peak
Answer: K2