Method
The Euclidean algorithm repeatedly replaces (a,b) by (b,a mod b) until the remainder is zero.
Math worksheet
Common Factor Calculator
List every positive factor shared by a set of whole numbers and identify their greatest common factor.
The calculation runs locally. Exact-integer tools avoid floating point; decimal and transcendental tools report rounding limits.
Method and verification guide
How the Common Factor Calculator works
The Euclidean algorithm repeatedly replaces (a,b) by (b,a mod b) until the remainder is zero. The calculator keeps the intermediate values visible so you can reproduce the answer independently.
Interpret the result
The GCF divides every input without remainder. Common factors are precisely the positive divisors of the GCF.
Check the assumptions
This browser worksheet accepts ordinary exact integers within JavaScript's safe-integer range for responsive display.
Local calculation
Everything runs in this browser. Inputs are not sent to an external calculator.
Rounding
Displayed values may be rounded for readability while calculations use full floating-point precision unless the tool explicitly uses exact integers.
Scope
This browser worksheet accepts ordinary exact integers within JavaScript's safe-integer range for responsive display.
Simple by design
Three steps to a clearer number.
Enter your details
Use realistic values in each field. You can change them anytime.
Calculate instantly
The formula runs locally, so there is no account or waiting time.
Use the result
Treat the answer as a practical estimate for your next decision.