justyourcalculatorCommon Factor Calculator
See every factor your numbers share, and the greatest one.
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Common Factor Calculator
Factors shared by a set of numbers
Separate with commas or spaces.
Common factors
1, 2, 3, 4, 6, 12
Greatest common factor: 12
- Number of common factors
- 6
How it was calculated
- GCF(36, 60, 84) = 12
- 12 = 2² × 3
- Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
- Factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
- Factors of 84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
- The common factors are exactly the factors of the GCF: 1, 2, 3, 4, 6, 12
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How the common factor calculator works
A common factor is a number that divides every number in a set evenly. 1 is always a common factor; the largest one is the greatest common factor (GCF).
A neat shortcut: the common factors of a set are exactly the factors of their GCF. So find the GCF (for 36, 60 and 84 it's 12) and list its factors: 1, 2, 3, 4, 6, 12.
Using and checking your result
Published by JustYourCalculator. Check the units and assumptions above, and compare a known example before relying on the output. Calculations use browser arithmetic and may round displayed values.
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