Introduction

The Greatest Common Factor (GCF) Calculator is a powerful tool that helps you quickly determine the largest number that divides two or more integers without leaving a remainder. Whether you’re a student solving math homework, a teacher preparing lessons, or just someone brushing up on number theory, our free GCF calculator simplifies the process of finding common factors in seconds.

Also known as the Highest Common Factor (HCF), the GCF is a fundamental concept in mathematics, especially when working with fractions, simplifying ratios, or solving algebraic problems. This tool eliminates manual calculations by instantly analyzing the numbers you input and delivering precise results.

Just enter the numbers separated by commas, and our calculator will apply prime factorization and division methods to compute the greatest factor they share. It’s accurate, fast, and mobile-friendly—perfect for use in classrooms, at home, or on the go.

Frequently Asked Questions

Q: What is the Greatest Common Factor (GCF)?
A: The GCF is the largest number that can evenly divide two or more integers without leaving a remainder.

Q: How is GCF different from LCM?
A: GCF finds the greatest number that divides all inputs, while LCM (Least Common Multiple) finds the smallest number that is a multiple of all inputs.

Q: Can this calculator handle more than two numbers?
A: Yes! Simply enter all numbers separated by commas to find the GCF of multiple values.

Q: Is this GCF calculator free to use?
A: Absolutely. Our GCF calculator is 100% free and available online for unlimited use.