How Do You Find the Greatest Common Factor If There are No Common Factors?

How Do You Find the Greatest Common Factor If There are No Common Factors?

Note:

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!

Keywords:

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  • greatest common factor
  • gcf
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  • factor
  • prime
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  • factorization
  • integers
  • no common factor

Background Tutorials

  • Types of Numbers

      • What's a Prime Number?What's a Prime Number?

      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.

  • Real Number Properties

  • Factors

      • How Do You Find the Prime Factorization of a Number Using a Tree?How Do You Find the Prime Factorization of a Number Using a Tree?

      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 a Factor?What's a Factor?

      What's a Factor?

      Factors are a fundamental part of algebra, so it would be a great idea to know all about them. This tutorial can help! Take a look!

Further Exploration

  • Greatest Common Factors

      • How Do You Find the Greatest Common Factor of Two Numbers Using Prime Factorization?How Do You Find the Greatest Common Factor of Two Numbers Using Prime Factorization?

      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?How Do You Find the Greatest Common Factor of Three Numbers?

      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!