UTM Scale Factor Calculator
Compute the UTM point scale factor at a given easting from the central-meridian scale k₀, to correct grid distances.
Enter Values
Before you rely on this: First-pass guide only. Verify safety-critical or regulated work against the relevant standards, your project requirements and a qualified professional.
How to use this calculator
- Enter the UTM easting.
- Press Calculate.
- Read the point scale factor.
How it works
Estimates the UTM point scale factor k ≈ k₀·(1 + E′²/(2R²)), where E′ is the easting minus the 500,000 m false easting and k₀ = 0.9996.
Worked example
600,000 m E. Scale factor a little above 0.9996 — grid distances are slightly stretched away from the central meridian.
Frequently asked questions
Why is it less than 1 near the central meridian?
UTM uses k₀ = 0.9996 so the projection is slightly compressed at the central meridian and slightly stretched at the zone edges, balancing distortion.
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Cite this tool
Zerdly. (2026). UTM Scale Factor Calculator. Retrieved from https://www.zerdly.com/tools/utm-scale-factor-calculator/
Tip: Enter any known values to calculate the remaining results.
Designed to run locally in your browser. Tool inputs are not intentionally stored by Zerdly unless stated otherwise.