Math Calculators
GCF Calculator
Find the greatest common factor of two or more whole numbers.
Free foreverRuns in your browserNo sign-up
Separate two or more numbers with commas or spaces.
Greatest common factor
24
About the GCF Calculator
The greatest common factor is the largest whole number that divides every number in a set without a remainder. It is also called the greatest common divisor or GCD.
GCF is commonly used to reduce fractions, factor expressions and split quantities into the largest equal groups.
This calculator accepts two or more whole numbers and applies the efficient Euclidean algorithm repeatedly across the list.
Key features
- Also calculates GCD
- Two or more whole numbers
- Handles positive and negative integers
- Efficient Euclidean algorithm
How to use
- 1Enter at least two whole numbers.
- 2Separate the values with commas or spaces.
- 3Read the greatest common factor.
Frequently asked questions
- Are GCF, GCD and HCF the same?
- Yes. Greatest common factor, greatest common divisor and highest common factor are different names for the same value.
- What is the GCF of 48 and 72?
- The GCF is 24 because it is the largest whole number that divides both values.
- How does GCF simplify a fraction?
- Divide both the numerator and denominator by their GCF to reduce the fraction to lowest terms.