Furnace repair price and scope cannot be reduced to one reliable national price. The useful comparison is the written scope: diagnostic work, exact equipment or component identity, access, compatible parts, labor, refrigerant handling when applicable, electrical or duct corrections, permits, commissioning, warranty terms and disposal. A low headline figure and a complete installed scope are not the same product.
A comfort complaint may involve the thermostat, airflow, fuel delivery, venting, ignition, controls, or the furnace itself, so symptoms do not identify the repair. A qualified technician can check the heating sequence, electrical controls, airflow, fuel and combustion-related components where applicable, venting, and safety shutdowns. Ask the proposal to separate diagnostic work, the verified failed component, any safety correction, access or vent work, final testing, and warranty coverage. Fuel type, cold-weather demand, elevation, code requirements, parts distribution, and vent configuration can materially change the work required in a given area. Note whether the furnace starts, how far its operating sequence proceeds, any control message, unusual odor or sound, and whether a safety alarm has activated.