Greatest Common Factor Calculator
Find the GCF of two or more numbers with the work shown.
Greatest common factor
12
Least common multiple
360
Reduced by GCF
2, 3, 5
Finding the GCF
The GCF is the largest number dividing all inputs evenly. The Euclidean algorithm finds it fast: replace the larger number with the remainder of dividing it by the smaller, repeat until zero — gcd(36, 24) → gcd(24, 12) → 12.
What it's for
GCF reduces fractions to lowest terms (24/36 → 2/3), splits things into the largest equal groups, and pairs with the LCM through a tidy identity: GCF × LCM = a × b for any two numbers.
Frequently asked questions
- How does the Greatest Common Factor Calculator work?
- Find the GCF of two or more numbers with the work shown.
- Is the Greatest Common Factor Calculator free to use?
- Yes. The Greatest Common Factor Calculator is completely free, runs entirely in your browser, and requires no account or sign-up. Your inputs never leave your device.
Related calculators
Percentage Calculator
Solve any percentage problem: percent of, percent change, and more.
Fraction Calculator
Add, subtract, multiply, and divide fractions with simplified results.
Scientific Calculator
A full scientific calculator with trig, logs, and exponents.
Random Number Generator
Generate random numbers in any range, with or without repeats.