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:

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

Background Tutorials

  • Factors and Greatest Common Factor

      • 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!

  • Commutative Associative and Identity Properties

  • Prime Factorization

      • 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.

      • 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.

Further Exploration