Between the 1995 and 2013 seasons, the Denver Broncos rushed for the most yards by a team, with 40,710 yards.

which team leads the league in rushing yards since 1995 to 2013
BroncosVikingsChiefsSteelers49ersEaglesJaguarsTitansRedskinsSeahawksGiantsBillsFalconsRaidersJetsCowboysPanthersBengals40.7k38.6k38.6k38.4k36.9k36.8k36.6k36.5k36.0k35.8k35.5k35.5k35.5k35.2k35.0k34.9k34.3k33.9k
TEAMGPRUSH YDSATTRUSH AVGRUSH YDS/GRUSH TD
Denver BroncosDenver Broncos30440,7109,1784.4133.9296
Minnesota VikingsMinnesota Vikings30438,6238,4474.6127.0285
Kansas City ChiefsKansas City Chiefs30438,5848,9314.3126.9304
Pittsburgh SteelersPittsburgh Steelers30438,3629,3874.1126.2270
San Francisco 49ersSan Francisco 49ers30436,8818,5154.3121.3268
Philadelphia EaglesPhiladelphia Eagles30436,7658,2084.5120.9260
Jacksonville JaguarsJacksonville Jaguars30436,6008,6784.2120.4281
Tennessee TitansTennessee Titans30436,5188,8854.1120.1267
Washington RedskinsWashington Redskins30436,0318,6284.2118.5256
Seattle SeahawksSeattle Seahawks30435,7898,4994.2117.7262
New York GiantsNew York Giants30435,5348,6364.1116.9263
Buffalo BillsBuffalo Bills30435,4528,6744.1116.6216
Atlanta FalconsAtlanta Falcons30435,4528,3814.2116.6249
Oakland RaidersOakland Raiders30435,1948,2654.3115.8231
New York JetsNew York Jets30435,0008,7024.0115.1220
Dallas CowboysDallas Cowboys30434,9348,5164.1114.9250
Carolina PanthersCarolina Panthers30434,3378,4794.0113.0246
Cincinnati BengalsCincinnati Bengals30433,9418,4504.0111.6222
Baltimore RavensBaltimore Ravens28833,9268,3864.0117.8210
New England PatriotsNew England Patriots30433,6518,6693.9110.7286
San Diego ChargersSan Diego Chargers30433,6128,4744.0110.6276
Green Bay PackersGreen Bay Packers30433,2598,1804.1109.4223
Miami DolphinsMiami Dolphins30432,8158,4713.9107.9258
Tampa Bay BuccaneersTampa Bay Buccaneers30432,7588,2774.0107.8205
Chicago BearsChicago Bears30432,6468,4163.9107.4198
New Orleans SaintsNew Orleans Saints30431,6357,9504.0104.1236
St. Louis RamsSt. Louis Rams30431,4517,7534.1103.5221
Indianapolis ColtsIndianapolis Colts30431,3398,0483.9103.1253
Detroit LionsDetroit Lions30430,3417,3494.199.8217
Arizona CardinalsArizona Cardinals30427,0487,4333.689.0193
Cleveland BrownsCleveland Browns25624,5886,4093.896.0126
Houston TexansHouston Texans19221,6465,3594.0112.7163
StatMuse has team, season-level data for rushing yards going back to the 1932 season.

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