What is the greatest common factor of 118 and 6?

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What is the GCF of 118 and 6?

The first step to find the gcf of 118 and 6 is to list the factors of each number. The factors of 118 are 1, 2, 59 and 118. The factors of 6 are 1, 2, 3 and 6. So, the Greatest Common Factor for these numbers is 2 because it divides all them without a remainder. Read more about Common Factors below.

To use the GCD / GCF / HCF Calculator below just enter a set of numbers separated by commas (,).

GCF Calculator

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How to find the Greatest Common Factor

GCF example:

The first step is to find all divisors of each number. For instance, let us find the gcf(118, 6).

In this case we have:

  • The factors of 118 (all the whole numbers that can divide the number without a remainder) are 1, 2, 59 and 118;
  • The factors of 6 are 1, 2, 3 and 6.

The second step is to analyze which are the common divisors. It is not difficult to see that the 'Greatest Common Factor' or 'Divisor' for 118 and 6 is 2. The GCF is the largest common positive integer that divides all the numbers (118, 6) without a remainder.

The GCF is also known as:

  • Greatest common divisor (gcd);
  • Highest common factor (hcf);
  • Greatest common measure (gcm), or
  • Highest common divisor

To learn more about GCF/GCD, watch this video from Khan Academy or/and read this arcticle.

Greatest Common Factor Calculator

Greatest Common Factor Calculator

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