GCF Calculator

Calculate the Greatest Common Factor (GCF) of two or more numbers.

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Features

Smart Chip Input

Add multiple numbers easily with a modern, interactive input system.

Instant Calculation

Utilizes the Euclidean algorithm for immediate and accurate results, even with large numbers.

Prime Factorization

Visual breakdown of factors (e.g., 12 = 2² × 3¹) to show exactly how the GCF is derived.

Educational Insights

Learn the method behind the math with clear explanations and formulas.

One-Click Copy

Instantly copy the result to your clipboard for use in other applications.

About GCF Calculator

The GCF Calculator (Greatest Common Factor) is a precise mathematical tool designed to find the largest positive integer that divides two or more numbers without a remainder. It employs the robust Euclidean algorithm for instant calculations and provides a detailed Prime Factorization breakdown for educational purposes. Formula: GCF(a, b) = GCD(a, b) Using Euclidean algorithm: GCD(a, b) = GCD(b, a mod b) Alternatively, using Least Common Multiple: GCF(a, b) = |a × b| / LCM(a, b) This tool is essential for simplifying fractions, solving ratio problems, and understanding number theory concepts.

How to Use GCF Calculator

  • 1
    Enter Numbers

    Type a number and press Enter or click the Add button. You can add multiple numbers.

  • 2
    Review Inputs

    Verify your numbers in the chip list. Remove any incorrect entries with the delete icon.

  • 3
    Calculate GCF

    Click the Calculate GCF button to process the numbers.

  • 4
    View Analysis

    See the final GCF result and the detailed prime factorization breakdown below it.

GCF Calculator | Greatest Common Factor Calculator