Math

Common Factor Calculator

List the positive whole numbers that divide two integers without leaving a remainder. The largest number in the list is their greatest common factor.

01

Your inputs

02

Your result

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Using the Common Factor Calculator

Common factors identify the sizes of equal groups that work for both quantities. They are also useful for checking how far a fraction can be simplified without changing its value.

Worked example

Use the example inputs below to reproduce this result. These are the form's starting values, not recommended targets. Changing your inputs updates your result above; this worked example stays fixed for comparison. Results are rounded for display.

Example inputs

Integer
60
Second integer
48

Example result

Factors
1, 2, 3, 4, 6, 12

Method and assumptions

Whole numbers only. Factors divide a number exactly. LCM(a,b) = a × b / GCF(a,b).

Keep exact values exact

Whole-number problems often need an exact answer rather than a rounded decimal. Check the permitted range and input notation before pasting a large number. A leading minus sign, a decimal point or a base prefix can change whether an entry is valid. Where the tool returns an exact integer or factorization, preserve that form for later calculations.

Common question

Why is one always in the list?

One divides every integer exactly. Two positive integers with no larger shared factor are called coprime, even when neither individual number is prime.