Furnace Size Calculator: What Size Furnace Do I Need?

Enter your home and state to get the heat loss in BTU per hour and the furnace input rating that covers it at your efficiency, using NOAA winter design temperatures.

Units

Sets design temperatures from NOAA climate normals for a major city.

80% for non-condensing, 95–98.5% for condensing furnaces.

sq ft
ft

Most homes are 10–20%.

Furnace input rating40,000 BTU/h
Heat loss36,900 BTU/h
Input needed38,500 BTU/h
Output delivered38,400 BTU/h

A 40k BTU/h furnace at 96% AFUE delivers about 38,400 BTU/h, 4% above the heat loss. Heat loss is figured for 14 °F outdoors, the heating design temperature for the median U.S. reference city (NOAA 1991–2020 normals), and 70 °F inside. Furnaces are sold by input rating; the output is input × AFUE.

Where the heat goes

Heat loss by path
SourceBTU/hShare
Air leakage9,43026%
Windows8,40023%
Floor or slab edge5,51015%
Walls5,07014%
Duct losses4,82013%
Ceiling and attic3,70010%

Estimate the replacement cost →

Safety: Gas furnaces involve combustion, venting and gas piping, and a mistake can cause carbon monoxide poisoning or fire. Installation needs a licensed contractor and usually a permit. Keep working CO alarms on every level of the home.

A furnace has one job: replace the heat your house loses on the coldest days. To size one, you need the heat loss at your winter design temperature, and then you pick a furnace whose output, input times efficiency, covers it without going much over. This calculator estimates the heat loss from your home’s size, insulation, windows and air leakage, using NOAA climate data for your state, and picks the matching input rating.

How it works

Heat loss is the house’s loss rate times the difference between 70 °F inside and the design temperature outside:

heat loss = (Σ U × area + F × perimeter + 1.08 × CFM) × (70 °F − design)
          walls, windows, ceiling   slab edge     air leakage
        + 15% if ducts run through unconditioned space
input     = heat loss ÷ AFUE
furnace   = smallest common input rating (40k–140k) whose output covers it

Design temperature. It’s the lowest hourly 10th-percentile temperature from December through February in NOAA’s 1991–2020 normals, at the station nearest a major city in your state. It’s close to the 99% design temperature HVAC designers use, which means it’s colder than all but a few dozen hours in a normal winter.

Insulation and windows set the U-values, the rate heat passes through each square foot for each degree of difference. Air leakage is often the biggest loss in older homes. Winter air leakage runs about 30% higher than summer because wind and the temperature difference push harder.

No credits. Heating loads ignore sun, people and appliances, because the coldest hours are usually at night.

AFUE is the share of the gas that becomes heat in the house. The calculator divides the heat loss by AFUE to get the input rating you’d see on the furnace’s data plate.

Worked example

A two-story, 2,400 sq ft house in Chicago has average insulation, double-pane windows and a drafty older envelope, with ducts in the basement and attic. NOAA normals at Midway give a design temperature of 3.9 °F, a 66 °F difference from indoors.

  • Air leakage: about 20,800 BTU/h, the largest single loss
  • Windows: 11,900. Walls: 9,800. Slab edge: 5,000. Ceiling: 2,600. Ducts: 7,500
  • Total heat loss: about 57,700 BTU/h
  • At 96% AFUE that needs 60,100 BTU/h of input. A 60,000 BTU furnace falls short by less than 0.2%, so the calculator picks an 80,000 BTU furnace, which delivers 76,800 BTU/h, 33% above the loss and within the 140% limit
  • Air seal the same house to “tight” and the loss drops to about 42,300 BTU/h, which a 60,000 BTU furnace covers easily

In practice, a contractor would probably choose the 60,000 BTU unit and seal the house. The calculator’s result is the same tradeoff, done in numbers.

Furnace size by state: reference table

The same 2,000 sq ft home in every state at 96% AFUE.

Computed by Home Yardstick for a one-story, 2,000 sq ft home with average insulation, double-pane windows and ducts in the attic. Design temperatures from NOAA 1991–2020 hourly normals at the station listed.
State (station)Heating designHeat loss (BTU/h)Furnace input at 96% AFUE
Alabama (Birmingham AP, AL)20 °F33,00040,000
Alaska (Anchorage Merrill Fld, AK)-8 °F51,50060,000
Arizona (Phoenix Sky Harbor Intl AP, AZ)38 °F21,20040,000
Arkansas (Little Rock AP Adams Fld, AR)21 °F32,30040,000
California (Los Angeles Intl AP, CA)44 °F17,10040,000
Colorado (Aurora Buckley Fld ANGB, CO)9 °F40,50060,000
Connecticut (Hartford Bradley Intl AP, CT)4 °F43,60060,000
Delaware (Philadelphia Intl AP, PA)14 °F36,90040,000
District of Columbia (Washington Reagan AP, VA)18 °F34,30040,000
Florida (Jacksonville NAS, FL)34 °F23,70040,000
Georgia (Atlanta Fulton Co AP, GA)21 °F32,30040,000
Hawaii (Honolulu Intl AP, HI)63 °F4,60040,000
Idaho (Boise Air Terminal, ID)14 °F36,90040,000
Illinois (Chicago Midway AP, IL)4 °F43,60060,000
Indiana (Indianapolis, IN)5 °F42,90060,000
Iowa (Des Moines Intl AP, IA)-2 °F47,50060,000
Kansas (Wichita, KS)11 °F39,00060,000
Kentucky (Louisville Intl AP, KY)13 °F37,60040,000
Louisiana (New Orleans Lakefront AP, LA)36 °F22,40040,000
Maine (Portland Intl Jetport, ME)0 °F46,20060,000
Maryland (Baltimore Wash Intl AP, MD)14 °F36,90040,000
Massachusetts (Boston Logan Intl AP, MA)8 °F40,80060,000
Michigan (Detroit City AP, MI)8 °F40,80060,000
Minnesota (Minneapolis/St Paul AP, MN)-9 °F52,10060,000
Mississippi (Jackson Intl AP, MS)24 °F30,30040,000
Missouri (Kansas City Downtown AP, MO)9 °F40,50060,000
Montana (Billings Logan Intl AP, MT)-1 °F46,70060,000
Nebraska (Omaha Eppley Airfield, NE)0 °F46,20060,000
Nevada (Las Vegas Mccarran AP, NV)32 °F25,10040,000
New Hampshire (Manchester AP, NH)1 °F45,20060,000
New Jersey (Newark Intl AP, NJ)13 °F37,60040,000
New Mexico (Albuquerque Intl AP, NM)19 °F33,60040,000
New York (New York Laguardia AP, NY)15 °F36,20040,000
North Carolina (Charlotte Douglas AP, NC)21 °F32,30040,000
North Dakota (Fargo Hector Intl AP, ND)-16 °F56,80060,000
Ohio (Columbus Port Columbus Intl AP, OH)7 °F41,50060,000
Oklahoma (Oklahoma City Will Rogers AP, OK)18 °F34,30040,000
Oregon (Portland Intl AP, OR)29 °F27,10040,000
Pennsylvania (Philadelphia Intl AP, PA)14 °F36,90040,000
Rhode Island (Providence T F Green AP, RI)8 °F40,80060,000
South Carolina (Charleston Intl AP, SC)27 °F28,40040,000
South Dakota (Sioux Falls, SD)-8 °F51,40060,000
Tennessee (Nashville Intl AP, TN)16 °F35,60040,000
Texas (Houston Intercont AP, TX)32 °F25,10040,000
Utah (Salt Lake City Intl AP, UT)14 °F36,90040,000
Vermont (Burlington Intl AP, VT)-7 °F50,80060,000
Virginia (Oceana NAS, VA)23 °F31,00040,000
Washington (Seattle Boeing Fld, WA)28 °F27,70040,000
West Virginia (Charleston Yeager AP, WV)11 °F39,00060,000
Wisconsin (Milwaukee Mitchell AP, WI)1 °F45,50060,000
Wyoming (Cheyenne, WY)7 °F41,50060,000

Tips and common mistakes

Don’t replace like for like. Many older furnaces are oversized, and the house may have been insulated or re-windowed since. Calculate the load before you buy.

Check the blower too. The furnace’s blower has to move enough air for the air conditioner on the same ducts, about 400 CFM per ton. A smaller furnace may need a variable-speed blower to serve a large AC.

Condensing furnaces need a drain. High-efficiency furnaces make acidic condensate and vent through plastic pipe. Plan the drain and the vent route before you choose a location.

Size gas pipe and venting with the furnace. A larger input rating can need a larger gas line and a different vent. Those are code items for your installer.

Seal ducts in unheated spaces. Duct leaks in a crawlspace or attic waste heat before it reaches the rooms, which is why the calculator adds 15% when ducts run outside.

Frequently asked questions

What size furnace do I need for a 2,000 sq ft house?

For a one-story, 2,000 sq ft home with average insulation, our model gives a heat loss from about 5,000 BTU per hour in Hawaii to about 57,000 in North Dakota. At 96% AFUE that's a 40,000 BTU input furnace across the South and a 60,000 BTU furnace in the coldest northern states.

What is the difference between furnace input and output?

Furnaces are sold by input, the gas they burn per hour. Output is the heat that reaches the house, which is input times AFUE. An 80,000 BTU furnace at 96% AFUE delivers about 76,800 BTU per hour, and at 80% AFUE it delivers 64,000.

How many BTUs per square foot for a furnace?

It depends far more on climate and insulation than on square footage. In our model, a typical home needs anywhere from a few BTU per hour per square foot in Hawaii to about 28 in North Dakota, so rules of thumb of 40 to 60 BTU per square foot usually oversize the furnace.

Is a bigger furnace better?

No. An oversized furnace runs in short bursts, which causes temperature swings and more wear, and it may need bigger ducts to move its airflow quietly. ACCA Manual S allows furnace output from 100% to 140% of the heat loss, so pick the smallest size in that range.

What AFUE should I choose?

Condensing furnaces at 95% AFUE or more turn almost all of the gas into heat. Non-condensing furnaces are 80%. A Department of Energy rule raises the minimum for most new gas furnaces to 95% starting in late 2028. Condensing units need a drain and plastic venting.

Sources

  1. Furnaces, ENERGY STAR (U.S. EPA)
  2. U.S. Climate Normals 1991–2020 (hourly), NOAA National Centers for Environmental Information
  3. 2021 International Residential Code, Section M1401.3: Equipment Sizing, International Code Council