About Our GCF Calculator
Use this free and easy GCF Calculator to instantly find the greatest common factor (also known as greatest common divisor or highest common factor) of two or more numbers. Whether you're simplifying fractions, solving algebra problems, or double-checking homework, this tool helps you save time and avoid mistakes. Just enter your numbers separated by commas, and see the GCF with a clear breakdown of steps.
Examples
Example 1
Input: 12, 18
Output: 6
To find the GCF of 12 and 18: the factors of 12 are 1, 2, 3, 4, 6, 12. The factors of 18 are 1, 2, 3, 6, 9, 18. The highest number common to both lists is 6, which is the GCF.
Example 2
Input: 24, 36, 60
Output: 12
To calculate the GCF of 24, 36, and 60: the common factors are 1, 2, 3, 4, 6, and 12. The largest of these is 12, which is the greatest common factor.
Frequently Asked Questions
What is GCF?
GCF stands for Greatest Common Factor. It's the largest number that divides two or more numbers evenly, without leaving a remainder.
How do you find the GCF?
You can find the GCF by listing all factors of each number and identifying the largest one they have in common. This calculator automates that process for you.
Can I use this calculator for more than two numbers?
Yes, you can input multiple numbers—just separate them with commas. The calculator will work out the GCF for all of them.