# What is the greatest common factor of 2, 5 and 11?

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## What is the GCF of 2, 5 and 11?

The first step to find the gcf of 2, 5 and 11 is to list the factors of each number. The factors of 2 are 1 and 2. The factors of 5 are 1 and 5. The factors of 11 are 1 and 11. So, the **Greatest Common Factor** for these numbers is 1 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(2,5,11).

In this case we have:

- The factors of 2 (all the whole numbers that can divide the number without a remainder) are 1 and 2;
- The factors of 5 are 1 and 5;
- The factors of 11 are 1 and 11.

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 2, 5 and 11 is 1. The GCF is the largest common positive integer that divides all the numbers (2,5,11) 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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