Newtons to kilogram-force (N to kgf) converter

What is a newtons to kilogram-force converter?

A newtons to kilogram-force converter is an online tool that translates a force measured in newtons (N) into the equivalent value in kilogram-force (kgf), and back again. The newton is the SI unit of force, while the kilogram-force is an older gravitational unit that is still common in engineering, mechanics, and everyday technical specifications such as cable tensions, spring ratings, and torque wrench labels. Because both units describe the same physical quantity, this converter simply rescales one into the other so you can move freely between the modern metric standard and the practical gravitational unit.

How does the converter work?

The kilogram-force is defined as the force exerted by standard gravity on a mass of one kilogram. Standard gravity is fixed at exactly 9.80665 metres per second squared, so one kilogram-force equals exactly 9.80665 newtons. This single constant links the two units in both directions:

• To go from newtons to kilogram-force, divide by 9.80665.
• To go from kilogram-force to newtons, multiply by 9.80665.

Enter a number in either field of the converter and the other side updates instantly. The tool also accepts related force units such as pound-force (lbf) and kilonewton (kN), so you can mix and match the source and target units without doing the arithmetic yourself.

Formula for conversion

The conversion relies on the exact definition of standard gravity.

To convert newtons to kilogram-force:

$\text{kgf} = \frac{\text{N}}{9.80665}$

To convert kilogram-force to newtons:

$\text{N} = \text{kgf} \times 9.80665$

Conversion table

The table below lists common newton values alongside their kilogram-force equivalents, rounded to four decimal places.

Examples

Example 1: One kilogram-force in newtons

By definition, a force of one kilogram-force is the weight of a one-kilogram mass under standard gravity:

$1 \text{ kgf} \times 9.80665 = 9.80665 \text{ N}$

So 1 kgf equals exactly 9.80665 N, and conversely 9.80665 N equals exactly 1 kgf.

Example 2: Converting 100 newtons to kilogram-force

Suppose a structural element carries a load of 100 newtons and you want the figure in kilogram-force:

$\text{kgf} = \frac{100}{9.80665} = 10.1972 \text{ kgf}$

Example 3: Converting 5 kilogram-force to newtons

A spring is rated at 5 kilogram-force. Expressed in the SI unit, that becomes:

$5 \text{ kgf} \times 9.80665 = 49.03325 \text{ N}$

Notes

• The relationship between the two units is exact, not approximate, because the kilogram-force is defined directly from standard gravity (9.80665 m/s²).
• Kilogram-force is a unit of force, not of mass. A 1 kg mass weighs 1 kgf only where the local gravitational acceleration matches standard gravity; the converter always uses the defined standard value.
• The kilogram-force is sometimes written as kp (kilopond); the two names refer to the same unit.
• For very precise scientific or legal work, prefer the newton, since the kilogram-force is a deprecated unit in the SI system.

Frequently asked questions

How many newtons are in one kilogram-force?

One kilogram-force equals exactly 9.80665 newtons, because the kilogram-force is defined using standard gravity of 9.80665 m/s².

How do I convert newtons to kilogram-force?

Divide the value in newtons by 9.80665. For example, 100 N divided by 9.80665 gives about 10.1972 kgf.

Is kilogram-force the same as kilogram?

No. A kilogram is a unit of mass, while a kilogram-force is a unit of force, namely the weight of one kilogram under standard gravity. They share a name and a numeric value only at standard gravity, but they measure different physical quantities.

What is the difference between newton and kilogram-force?

The newton is the SI unit of force and is independent of any particular value of gravity, whereas the kilogram-force is a gravitational unit tied to standard gravity. One kilogram-force is roughly 9.8 times larger than one newton.

Why is 9.80665 used instead of 9.81?

9.80665 m/s² is the internationally agreed exact value of standard gravity. The rounded figure 9.81 is convenient for quick mental estimates, but the converter uses the full defined value for accuracy.

Can I convert to pound-force as well?

Yes. The same field supports pound-force (lbf) and kilonewton (kN), so you can select either unit as your source or target and convert in any combination.