How do I use the GCF calculator?

Enter your numbers in the boxes (whole or decimal, up to 15 values). The GCF and the factored form are displayed automatically as you type. If no significant common factor exists, the calculator clearly says so. Use the Clear button to reset all the fields. Save your results in the history with the Save button.

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Calculators Solutions : Greatest common factor (GCF)

GCF ➧

GCF → Greatest common factor (also called greatest common divisor, GCD)

Factored form ➧

Results history (All cells are editable)

Numbers	GCF	Factored form	Note
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Calculate the GCF and the Factored Form of Your Numbers Online

This free tool instantly calculates the GCF (greatest common factor), also called the greatest common divisor, of several whole or decimal numbers. It also displays the corresponding factored form, for up to 15 values at once.

How to use the GCF calculator?

Enter your numbers in the boxes (whole or decimal, up to 15 values).
The GCF and the factored form are displayed automatically as you type.
If no significant common factor exists, the calculator clearly says so.
Use the Clear button to reset all the fields.
Save your results in the history with the Save button.

What is the GCF (greatest common factor)?

The GCF of several numbers is the largest integer that divides each of them exactly, with no remainder. For example, the GCF of 12 and 18 is 6, because 6 is the largest number that divides both 12 (12 ÷ 6 = 2) and 18 (18 ÷ 6 = 3).

The factored form then expresses these numbers as the product of the GCF and their respective quotients: 12 and 18 = 6 × (2, 3). This notation is useful in algebra, in arithmetic and for simplifying fractions.

This tool also supports decimal numbers: it automatically converts the values to integers by scaling them, calculates the GCF, then returns the result in the original scale.

Why calculate the greatest common factor?

Finding the greatest common factor is useful in many situations:

Simplifying a fraction: dividing the numerator and denominator by their GCF gives the fully reduced fraction.
Solving sharing problems: splitting objects into the largest possible equal groups.
Factoring an algebraic expression: pulling out the common factor in a sum or a polynomial.
Simplifying calculations: reducing ratios or proportions to their simplest form.

Save and export your GCF calculations

After each calculation, click Save to keep the entered numbers, the GCF and the factored form in a history table. You can then export this history in CSV or PDF format to archive or share it.

Keyboard shortcuts for the GCF

m ⇝ Clear

f ⇝ Save