Greatest Common Factor Calculator - calculatorsee.com


Greatest Common Factor Calculator

Find the Greatest Common Factor (GCF / GCD / HCF) of two or more integers with step-by-step Euclidean algorithm solutions.

Calculator Inputs

Enter two or more integers.

Calculated Results

Greatest Common Factor (GCF)
18
Least Common Multiple (LCM) 108
Common Divisors 1, 2, 3, 6, 9, 18
Prime Factorization GCF 2 x 3^2
Values calculate live as you adjust inputs.

About Greatest Common Factor Calculator

Finds the largest positive integer that divides evenly into all input numbers without leaving any remainder.

What is Greatest Common Factor Calculator?

Finds the largest positive integer that divides evenly into all input numbers without leaving any remainder.

How to Use This Calculator

  1. Enter comma-separated integers.
  2. Review GCF and Euclidean step-by-step divisions.

The Mathematical Formula & Variables

Euclidean Algorithm: repeatedly take remainder until remainder is 0

Step-by-Step Worked Example

Scenario: Find GCF of 54 and 36.

  1. 54 / 36 = 1 remainder 18.
  2. 36 / 18 = 2 remainder 0.
  3. Last non-zero remainder is 18.

Result: 18

Frequently Asked Questions

Are GCD and HCF the same as GCF?

Yes, Greatest Common Factor (GCF), Greatest Common Divisor (GCD), and Highest Common Factor (HCF) are identical mathematical terms.