GCF Calculator: Find the Greatest Common Factor (HCF) Online

Calculate the Greatest Common Factor

Please enter at least two positive integers.

Results

The Greatest Common Factor (GCF) is:

Discover the GCF of any set of numbers effortlessly with our GCF Calculator. This essential tool helps you find the Greatest Common Factor (HCF), simplifying fractions and solving number theory problems quickly for students and professionals. Understand the core concept and apply it to real-world scenarios.

Formula:

The Greatest Common Factor (GCF), also known as the Highest Common Factor (HCF), of two or more integers is the largest positive integer that divides each of the integers without leaving a remainder.

For example, to find the GCF of 12 and 18:

  • Divisors of 12: 1, 2, 3, 4, 6, 12
  • Divisors of 18: 1, 2, 3, 6, 9, 18

The greatest common divisor in both lists is 6. Thus, GCF(12, 18) = 6.

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