The greatest common factor (GCF), also called the greatest common divisor (GCD), is the largest positive integer that divides every number in a set without a remainder. Enter two or more non-zero integers to see the GCF, all shared factors, the factors of each input, and the calculation steps.
It is useful for checking an answer quickly, but it is also designed to make the shared structure visible: which factors are common, and why the largest one is the result. Negative inputs are compared by absolute value, so the displayed result is non-negative.
Enter comma-separated integers, for example: 48, 36, 60.
At least two integers are required. Spaces are fine, but decimals, letters, units, and algebraic expressions are not valid inputs. The page recalculates when the input changes, and the Calculate button can be used to confirm it.
Enter at least two integers separated by commas. The page can also compare three or more integers.
In integer calculations they normally mean the same thing: the greatest positive factor shared by all inputs. GCF and GCD are common English names.
Yes. The page uses the absolute value of each integer and reports a non-negative greatest common factor.
This page requires non-zero integers so it can show a complete factor list for every input. A zero input is rejected.
No. Reordering the same integers does not change the greatest common factor or the shared-factor list.
Calculate the Greatest Common Factor (GCF/GCD) of two or more integers with shared factors and step-by-step work.