Prime Factorization and Greatest Common Factor

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What's a Prime Number?

Prime numbers aren't too hard to define, but they still puzzle professional mathematicians. Believe it or not, all over the word computers are chugging away, trying to find the next biggest prime! Bigger and bigger prime numbers help keep your credit card info safe through really cool encryption techniques. So prime numbers really matter every day, and you can learn how they are defined in this tutorial.
How Do You Find the Greatest Common Factor of Two Numbers Using Prime Factorization?

This tutorial uses something called a factor tree to find the greatest common factor of two numbers. Creating a factor tree for a number makes it easier to find its prime factors. These prime factors are used to help find the greatest common factor. Watch this tutorial and learn how to find the greatest common factor using a factor tree.
How Do You Find the Greatest Common Factor of Three Numbers?

To find the greatest common factor (GCF) between numbers, take each number and write its prime factorization. Then, identify the factors common to each number and multiply those common factors together. Bam! The GCF! To see an example worked out, check out this tutorial!
How Do You Find the Greatest Common Factor of Monomials?

To find the greatest common factor (GCF) between monomials, take each monomial and write it's prime factorization. Then, identify the factors common to each monomial and multiply those common factors together. Bam! The GCF! To see an example worked out, check out this tutorial!
How Do You Find the Greatest Common Factor If There are No Common Factors?

To find the greatest common factor (GCF) between numbers, take each number and write it's prime factorization. Then, identify the factors common to each number and multiply those common factors together. What? There are NO factors in common? Then the GCF is 1. This tutorial gives you one such example. Check it out!
How Do You Find the Prime Factorization of a Number Using a Tree?

To write the prime factorization for a number, it's often useful to use something called a factor tree. Follow along with this tutorial and see how to use a factor tree to find the prime factorization of a given number.
What's Another Definition for Prime and Composite Numbers?

If the only factors a number are 1 and itself, then that number is prime. A number that is not prime is called composite. Learn about prime and composite numbers by watching this tutorial!
What is a Greatest Common Factor?

Being able to take out a greatest common factor can make a problem easier to work with, but before you do that, you need to understand what a greatest common factor is. This tutorial explains exactly that!
How Do You Factor a Greatest Common Factor Out of an Expression?

The greatest common factor (GCF) is the largest factor two or more numbers have in common. Finding the GCF can be very useful in simplifying an expression or solving an equation. In this tutorial, see how to identify the GCF of an expression and factor it out. Check it out!
How Do You Find the Greatest Common Factor of Two Numbers by Listing Their Factors?

The greatest common factor (GCF) is the largest factor two or more numbers have in common. Finding the GCF can be very useful in simplifying an expression or solving an equation. Watch this tutorial and learn what it takes to find the GCF of two numbers!