# GCF for 3 and 18

"Greatest Common Factor" Calculator

## What is the Greatest common Divisor of 3 and 18?

**Answer:**GCF of

**3 and 18**is

**3**

(Three)

## Finding GCF for 3 and 18 using all factors (divisors) listing

The first method to find GCF for numbers 3 and 18 is to list all factors for both numbers and pick the highest common one:

All factors of 3: 1, **3**

All factors of 18: 1, 2, **3**, 6, 9, 18

So the Greatest Common Factor for 3 and 18 is **3**

## Finding GCF for 3 and 18 by Prime Factorization

The second method to find GCF for numbers 3 and 18 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 18: 2, 3, 3

As we can see there is only one Prime Factor common to both numbers. It is **3**

So **3** is the Greatest Common Factor of 3 and 18

## Related Calculations

## See Also

- Least Common Multiple - Find the Least Common Multiple (LCM) of two numbers

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## GCF Table

## About "Greatest Common Factor" Calculator

This calculator will help you find the greatest common factor (GCF) of two numbers. For example, it can help you find out what is the Greatest common Divisor of 3 and 18? (The answer is:

**3**). Select the first number (e.g. '3') and the second number (e.g. '18'). After that hit the 'Calculate' button.Greatest Common Factor (GCF) also known as the Greatest Common Divisor (GCD) or Highest Common Factor (HCF) - it is the largest positive integer that divides each of the integers with zero remainder