Toggle navigation
Pre-K
Kindergarten
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
Middle School
High School
Phonics
Fun Games
Math
Math Games
Math Worksheets
Algebra
Language Arts
Science
Social Studies
Literature
Languages
Themes
Quizzes
Timelines
Login
Home
>
Quizzes
>
Math Quizzes
> Monomials : Finding the greatest common factor (GCF) of two or more monomials Quiz
Monomials : Finding the greatest common factor (GCF) of two or more monomials Quiz
Quiz
*Theme/Title:
Finding the greatest common factor (GCF) of two or more monomials
* Description/Instructions
This quiz focuses on finding the greatest common factor (GCF) of two or more monomials. To do this, the first step is to find the prime factorization of the coefficients, then determine any common prime factors of the coefficients and for each one that occurs, include it as a factor of the GCF. The second step is to examine each of the variables as factors and if any appear as a factor of all the monomials, include it as a factor, using the smallest exponent of the variable. The GCF is then the product of the results of the first and second steps above.
Example:
Find the GCF of 20x^2 and 30x^5.
Result:
The coefficients of the two monomials are 20 and 30 respectively.
The prime factorizations are:
20 = 2 * 2 * 5
30 = 2 * 3 * 5
The common factors are 2 and 5, so the GCF of 20 and 30 will be 2*5 = 10.
By examination of the variables x^2 and x^5, the GCF is x^2.
The overall GCF will be 10 * x^2 = 10x^2.
Group:
Math
Math Quizzes
Topic:
Monomials
Share
All Quizzes
To link to this page, copy the following code to your site:
<a href="https://www.softschools.com/quizzes/algebra/finding_the_greatest_common_factor_gcf_of_two_or_more_monomials/quiz5018.html">Finding the greatest common factor (GCF) of two or more monomials</a>