Greatest Common Factor Calculator

Input any number values into our Greatest Common Factor Calculator and it will find quickly find all of the factors including the greatest common factor.

The Greatest Common Factor (GCF) is the largest factor that a pair or group of numbers have in common.

It can also be called the Greatest Common Denominator (GCD), the Highest Common Factor (HCF), and the Greatest Common Divisor (GCD)

The Greatest Common Factor of 32, 48 and 20 is 4 because 4 is the largest number that divides into all the numbers.

Simply type in your numbers into the space below with a SPACE after each one!

One of the main uses of the greatest common factor is to help simplify fractions quickly.

If you type in the numerator and denominator of a fraction, the calculator will tell you the GCF.

You can then quickly simplify the fraction by dividing both the numerator and denominator by the GCF in one quick go!

We have also included a couple of quick examples so you can see how it works...

As well as our calculator, we also have a range of greatest common factor worksheets.

These sheets have been designed for 6th and 7th grade students.

They will help students learn and practice finding the greatest common factor of numbers up to 100.

If you want to learn more about the Greatest Common Factor and how each of the methods above works, come and visit our Definition of Greatest Common Factor page.

We have lots of worked examples showing you how to find the greatest common factor using different methods.

Our Least Common Multiple Calculator will find the lowest common multiple of 2 or more numbers.

It will also show you the working out using a choice of two different methods.

There are also some worked examples.

These sheets are all about finding multiples and factors of different numbers.

They are a great way to introduce multiples and factors and to practice this skill.

The Sieve of Erastosthenes is a method for finding what is a prime numbers between 2 and any given number.

Eratosthenes was a Greek mathematician (as well as being a poet, an astronomer and musician) who lived from about 276BC to 194BC.

If you want to find out more about his sieve for finding primes, and print out some Sieve of Eratosthenes worksheets, use the link below.

Take a look at our Prime Number page which clearly describes what a prime numbers is and what they are not.

There are also many different questions about prime numbers answered, as well as information about the density of primes.

We have a wide range of free math calculators to help you.

Most of our calculators show you their working out so that you can see exactly what they have done to get the answer.

Our calculator hub page contains links to all of our calculators!

The Math Salamanders hope you enjoy using these free printable Math worksheets and all our other Math games and resources.

We welcome any comments about our site or worksheets on the Facebook comments box at the bottom of every page.