Common Factors Calculator
Instantly find the greatest common factor and the complete list of shared divisors for any set of numbers. Perfect for simplifying fractions and algebraic expressions.
What is a common factor?
A common factor is a whole number that divides two or more integers exactly, with no remainder. For example, 2 is a common factor of 4 and 6.
What is the Greatest Common Factor (GCF)?
The GCF (also known as the Greatest Common Divisor or GCD) is the largest positive integer that divides all of the numbers in a set without leaving a remainder.
How do you find common factors?
To find common factors: 1) List all factors for each number. 2) Identify the numbers that appear in every list. These are the common factors.
Can 1 be a common factor?
Yes, 1 is a common factor for any set of integers because every integer is divisible by 1. In many cases, 1 may be the only common factor (these numbers are called "relatively prime" or "coprime").