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# What is the greatest common factor of 2, 4 and 14?

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

### GCF Calculator

Enter values separeted by commas:  Ex.: 2,4,8, etc.

### Detailed Answer:

Greatest Common Divisor explained here

You have reached us maybe looking for answers to the questions like: What is the greatest common factor of 2, 4 and 14? or what is the highest common factor (HCF) of 2, 4 and 14?

## What is the GCF of 2, 4 and 14?

The first step to find the gcf of 2, 4 and 14 is to list the factors of each number. The factors of 2 are 1 and 2. The factors of 4 are 1, 2 and 4. The factors of 14 are 1, 2, 7 and 14. So, the Greatest Common Factor for these numbers is 2 because it divides all them without a remainder. Read more about Common Factors below.

## 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(2,4,14).

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 4 are 1, 2 and 4;
• The factors of 14 are 1, 2, 7 and 14.

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, 4 and 14 is 2. The GCF is the largest common positive integer that divides all the numbers (2,4,14) 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

### Greatest Common Factor Calculator Please link to this page! Just right click on the above image, choose copy link address, then past it in your HTML.

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