GCF Calculator
Find the greatest common factor of two or more whole numbers. See the common factors, prime factorizations, and a clear step-by-step solution instantly.
Enter whole numbers
Result
Enter your numbers and calculate their greatest common factor.
What is the GCF?
The greatest common factor is the largest positive integer that divides every number in the set without leaving a remainder.
Prime factor method
Write each number as a product of primes, then multiply the prime factors shared by every number using the smallest powers.
Useful for fractions
The GCF helps simplify fractions, factor algebraic expressions, and divide quantities into equal-sized groups.
Frequently asked questions
Is GCF the same as GCD?
Yes. Greatest common factor and greatest common divisor describe the same value.
Can I calculate the GCF of more than two numbers?
Yes. Enter any number of positive whole numbers separated by commas, spaces, or new lines.
What does a GCF of 1 mean?
It means the numbers have no common factor greater than 1 and are relatively prime as a group.
Can zero be included?
Yes, provided at least one other number is nonzero. The GCF of zero and a nonzero number is the absolute value of the nonzero number.
Results are estimates generated locally in your browser using standard mathematical formulas. They are for informational and educational purposes only and are not a substitute for verification in coursework, examinations or professional contexts requiring certified accuracy. VisionVix accepts no liability for decisions based on this tool's output.
