How to find common factors
- List every factor of each number (every positive integer that divides it cleanly).
- Take the intersection of all those lists — values that appear in every list.
- The largest value in the intersection is the greatest common factor (GCF).
CommonFactors(a, b, …) = Factors(a) ∩ Factors(b) ∩ …
Equivalently, every common factor of a, b, … is also a factor of their GCF — so the GCF and its divisors give you the complete list.
FAQ
Is 1 always a common factor?
Yes — 1 divides every integer. Two numbers whose only common factor is 1 are called coprime (or relatively prime).
Can I check more than two numbers?
Yes — enter as many as you like. The intersection still applies.
What's the difference between this and GCF?
This calculator lists every common factor; the GCF calculator reports just the greatest. Every other common factor is a divisor of the GCF.