Overview
What Is GCF?
The Greatest Common Factor (GCF), also called Greatest Common Divisor (GCD), is the largest number that divides evenly into all numbers in a set.
Find the greatest common factor of any set of numbers.
The Greatest Common Factor (GCF), also called Greatest Common Divisor (GCD), is the largest number that divides evenly into all numbers in a set.
Useful for simplifying fractions, factoring algebraic expressions, and solving number theory problems.
Type numbers separated by commas.
The result updates automatically.
Simplifying fractions, factoring expressions, and solving problems involving common divisibility.
GCF is the largest number that divides evenly into a set; LCM is the smallest number that all values divide into evenly.
Yes, this calculator supports any number of values.
The GCF of a number and itself is that number.
By convention, GCF is expressed as a positive number even if inputs are negative.
The GCF of any number and zero is that number itself.
Yes, Greatest Common Factor and Greatest Common Divisor are the same concept, just different names.
List the factors of each number and find the largest one they share, or use the Euclidean algorithm for efficiency.
Yes, the calculator handles large numbers efficiently using the Euclidean algorithm.
Yes, completely free with no sign-up required.