# GCF of 10 and 18

"Greatest Common Factor" Calculator

## What is the Greatest Common Factor of 10 and 18?

**Answer: **Greatest Common Factor (GCF) of **10 and 18** is: **2**

(Two)

## Finding GCF for 10 and 18 using all factors (divisors) listing

The first method to find GCF for numbers 10 and 18 is to list all factors for both numbers and pick the highest common one:

All factors of 10 : 1, **2**, 5, 10

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

So the Greatest Common Factor for 10 and 18 is **2**

## Finding GCF for 10 and 18 by Prime Factorization

The second method to find GCF for numbers 10 and 18 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 10 : 2, 5

All Prime Factors of 18 : 2, 3, 3

As we can see there is only one Prime Factor common to both numbers. It is **2**

So **2** is the Greatest Common Factor of 10 and 18

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## About "Greatest Common Factor" Calculator

This calculator will help you find the greatest common factor (GCF) of two numbers. For example, What is the Greatest Common Factor of 10 and 18? Select the first number (e.g. '10') and the second number (e.g. '18'). After that click 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