# What is the greatest common factor of 123 and 165?

You have reached us maybe looking for answers to the questions like: What is the greatest common factor of 123 and 165? or what is the highest common factor (HCF) of 123 and 165?

## What is the GCF of 123 and 165?

The first step to find the gcf of 123 and 165 is to list the factors of each number. The factors of 123 are 1, 3, 41 and 123. The factors of 165 are 1, 3, 5, 11, 15, 33, 55 and 165. So, the **Greatest Common Factor** for these numbers is 3 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 (,).

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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(123,165).

In this case we have:

- The factors of 123 (all the whole numbers that can divide the number without a remainder) are 1, 3, 41 and 123;
- The factors of 165 are 1, 3, 5, 11, 15, 33, 55 and 165.

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 123 and 165 is 3. The GCF is the largest common positive integer that divides all the numbers (123,165) 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

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