Greatest Common Factor Calculator

Find the greatest positive factor shared by a group of integers.

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Input

Enter the integers you want to compare, and the calculator will return their greatest common factor. You will see the result first and the step-by-step solution below.

Input summary

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Step by Step Calculation

GCF

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Calculate first and the full working will appear below automatically.

How to use Greatest Common Factor Calculator

Provide the numbers, and the calculator will identify the largest factor that divides all of them exactly.

What this calculator is for

This calculator is for simplifying fractions, factoring expressions, and number-theory problems that rely on the largest shared divisor of several integers.

Tips

Use whole numbers only for standard GCF work.
GCF is about shared factors, not shared multiples.
If the GCF is 1, the numbers have no larger common factor and are relatively prime.