To convert grams-force to tonnes-force, multiply by 1e-06. That factor is the whole relationship: both units measure force, so the conversion is a proportion with no offset and no substance-specific constant.
The weight of one gram at standard gravity, used for keyboard switches, sutures and fibre testing. The force of gravity on one metric tonne, used in press and crane ratings.
Mass is not force. A kilogram is a mass; a kilogram-force is the weight of that mass at standard gravity, 9.80665 N. Bathroom scales blur the distinction because they are calibrated for Earth; engineering calculations cannot. Below the calculator there is a step table for the values people look up most, and a second table putting real force figures into tonnes-force so the number you get has something to be compared against.
The formula
grams-force- The amount you are converting, in grams-force
1e-06- The exact number of tonnes-force in one gram-force
tonnes-force- The converted result
How it works, step by step
- Enter the value in grams-force.
- It is multiplied by 1e-06, the exact factor between the two units.
- The answer is shown in tonnes-force, with the reverse conversion beneath it.
- Check the reference table if you want a figure of comparable size.
Worked examples
Lifting a bag of sugar: 1000 gf in tonnes-force
Take lifting a bag of sugar, roughly 1000 gf. The conversion is a single multiplication — 1000 × 1e-06 — giving 0.001 tf. Because the relationship is proportional, doubling the input doubles the answer to 0.002 tf.
A firm handshake: 3.06e+04 gf in tonnes-force
A firm handshake comes to about 3.06e+04 gf. Multiplying by the factor: 3.06e+04 × 1e-06 = 0.0306 tf. Dividing the answer back by 1e-06 returns the figure you started with, which is the quickest way to check you have the factor the right way up.
How to read your score
Frequently asked questions
How many tonnes-force are in one gram-force?
Exactly 1e-06. Every figure on this page is that one number multiplied by your input, so the only rounding is at the display step.
What is the formula to convert grams-force to tonnes-force?
tonnes-force = grams-force × 1e-06. Reversed, grams-force = tonnes-force ÷ 1e-06, which is the same as multiplying by 1,000,000.
Which is the bigger unit, the gram-force or the tonne-force?
The tonne-force. One gram-force is only 1e-06 of a tonne-force, so it takes 1e+06 grams-force to make one tonne-force.
What does this quantity actually measure?
Both units measure force. That is why a single factor is enough: there is no temperature offset and no material property involved, unlike conversions that cross between different quantities.
What is a gram-force?
The weight of one gram at standard gravity, used for keyboard switches, sutures and fibre testing.
What is a tonne-force?
The force of gravity on one metric tonne, used in press and crane ratings.
Why does my answer differ from another converter?
Almost always because the other tool rounded the factor before multiplying. This page keeps full double precision through the calculation and rounds only for display, and it prints the factor it used so you can see where any difference came from.
Grams-Force to tonnes-force reference tables
| Grams-Force | Tonnes-Force |
|---|---|
| 0.5 gf | 5e-07 tf |
| 1 gf | 1e-06 tf |
| 2 gf | 2e-06 tf |
| 3 gf | 3e-06 tf |
| 5 gf | 5e-06 tf |
| 10 gf | 1e-05 tf |
| 20 gf | 2e-05 tf |
| 25 gf | 2.5e-05 tf |
| 50 gf | 5e-05 tf |
| 75 gf | 7.5e-05 tf |
| 100 gf | 0.0001 tf |
| 250 gf | 0.00025 tf |
| 500 gf | 0.0005 tf |
| 1000 gf | 0.001 tf |
| 5000 gf | 0.005 tf |
Exact factor: 1 gram-force = 1e-06 tonnes-force.
| Quantity | gf | tf |
|---|---|---|
| A sheet of paper’s weight | 4.997 gf | 4.997e-06 tf |
| Lifting a bag of sugar | 1000 gf | 0.001 tf |
| A firm handshake | 3.059e+04 gf | 0.03059 tf |
| An adult’s body weight | 7.954e+04 gf | 0.07954 tf |
| A climbing rope’s rated load | 2.243e+06 gf | 2.243 tf |
| A car’s braking force | 8.158e+05 gf | 0.8158 tf |
Published reference values, converted with the same factor this page uses.