# Greatest Common Factor (GCF) Calculator

## About our GCF Calculator

Our GCF (Greatest Common Factor) calculator is a web-based tool designed to find the greatest common factor of a set of numbers. A GCF (Greatest Common Factor) calculator is a tool used to find the largest number that divides evenly into two or more given numbers. It’s also known as the greatest common divisor (GCD). The GCF is often used in mathematics, especially in simplifying fractions or solving problems involving factors. The calculator typically takes two or more numbers as input and computes their GCF, providing the result as output. Our GCF calculator is helpful for students, teachers, or anyone needing to quickly find the greatest common factor of numbers.

Here’s how it works and how you can use it:

### How it Works:

**Input Numbers**: You can input a list of numbers separated by commas into the text field provided.**Calculate GCF**: After entering the numbers, click the “Calculate GCF” button.**Result Display**: The calculator will then display the greatest common factor (GCF) of the input numbers along with the prime factorization of each number.

### About the Tool:

**Purpose**: The purpose of this tool is to make it easy to find the greatest common factor (GCF) of multiple numbers, which is a common task in mathematics, especially in simplifying fractions or solving problems involving factors.**Algorithm**: The calculator employs the Euclidean algorithm to find the GCF, which is an efficient method for computing the greatest common divisor of two numbers.**Prime Factorization**: Additionally, the tool provides the prime factorization of each input number, offering insight into how the GCF is calculated.

### How to Use:

**Enter Numbers**: Input the numbers for which you want to find the GCF into the text field, separated by commas.**Click Calculate**: After entering the numbers, click the “Calculate GCF” button.**View Result**: The calculator will display the GCF of the input numbers along with the prime factorization of each number, helping you understand how the GCF is derived.

### Example Usage:

**Input**: Enter numbers like 24, 36, 48**Calculation**: Click the “Calculate GCF” button.**Result**: The calculator will display the GCF of 24, 36, and 48, along with their respective prime factorizations.

### Additional Information:

**Styling**: The calculator is styled for easy readability and usage, with a clean interface and clear instructions.**Dependencies**: It utilizes Font Awesome for icons and basic CSS for styling.

Overall, your GCF calculator is a useful tool for quickly and accurately finding the greatest common factor of multiple numbers, providing both the result and the steps involved in its calculation.

##### GCF: Greatest Common Factor Calculator - Factor Calculator

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**Price: **
Free

**Price Currency: **
$

**Operating System: **
Browser, Android, Windows

**Application Category: **
Calculator Application

**Editor's Rating:**

4.59