# 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

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