How it works
Find all common factors of multiple numbers.
Input query strings and outputs
Use an input name in this page’s URL as ?name=value, and join additional inputs with &. Portable shared links may instead use the compact ?ac= state parameter.
Input query strings
1-
?numbers=Enter numbers (comma separated)Text · Optional · Default: 12, 18, 24
Outputs
1-
resultResultText · Primary output
result contains the calculator’s complete rendered result area, including its visible result cards, tables, charts, and messages.
Find the shared divisors of multiple numbers
Description
The Common Factor Calculator helps you identify all integers that can divide a set of two or more numbers without leaving a remainder. In addition to listing every shared factor, the tool automatically highlights the Greatest Common Factor (GCF)—also known as the Highest Common Factor (HCF). This is a critical step in simplifying fractions and solving algebraic equations.
Inputs
- Numbers: A list of two or more integers separated by commas or spaces (e.g.,
12, 18, 24).
Outputs
- Common Factors: A complete list of all integers that divide every number in the input list.
- Largest Common Factor: The GCF/HCF of the set.
Chart
- N/A: This tool provides a direct numeric list of divisors.
“Good to Know”
- The “1” Rule: Every set of integers has at least one common factor: the number 1.
- Simplifying Fractions: To simplify a fraction like 12/18, find the GCF of 12 and 18 (which is 6) and divide both numbers by it to get 2/3.
- Relatively Prime: If the only common factor between two numbers is 1, those numbers are said to be “relatively prime” or “coprime.”
Examples
Example 1: Basic Set
- Input:
12, 18 - Output:
- Factors: 1, 2, 3, 6
- Largest: 6
Example 2: Three Numbers
- Input:
24, 36, 48 - Output:
- Factors: 1, 2, 3, 4, 6, 12
- Largest: 12
Example 3: Coprime Numbers
- Input:
8, 9 - Output:
- Factors: 1
- Largest: 1