Greatest Common Factor (GCF) of Monomials Worksheet
Practice finding the Greatest Common Factor (GCF) of monomials with this Grade 10 algebra worksheet.
Includes
Standards
Topics
Greatest Common Factor (GCF) of Monomials
Name:
Date:
Score:
Read each question carefully and determine the Greatest Common Factor (GCF) for the given monomials. Write your answers in the space provided.
Find the GCF of each pair of monomials.
1. GCF of \(12x^3y^2\) and \(18x^2y^5\)
2. GCF of \(24a^4b\) and \(36a^2b^3\)
3. GCF of \(15m^6n^3\) and \(25m^4n^7\)
4. GCF of \(7p^2q^4r\) and \(14p^5q^2r^3\)
Choose the correct GCF for each set of monomials.
5. What is the GCF of \(8x^2y^3\) and \(16x^4y\)?
\(8x^2y\)
\(16x^4y^3\)
\(8xy\)
\(2x^2y\)
6. Find the GCF of \(30a^5b^2c\) and \(45a^3b^4c^2\).
\(15a^3b^2c\)
\(15a^5b^4c^2\)
\(5a^3b^2c\)
\(30a^3b^2c\)
7. Explain the steps you would take to find the GCF of \(20x^3y^2z\) and \(30x^2y^4\).
Determine if the following statements are true or false.
8. The GCF of \(10ab^2\) and \(5a^2b\) is \(5ab\).
True
False
9. When finding the GCF of monomials, you always take the highest exponent for each variable.
True
False
Related Worksheets
Radical Operations Worksheet
Grade 10 Math worksheet covering operations with radical expressions including simplification, addition, subtraction, multiplication, and division.
Solving Square Root Equations
This worksheet focuses on solving square root equations, including identifying extraneous solutions, for Grade 10 Algebra students.
Perfect Square Trinomials Worksheet
This worksheet focuses on identifying, factoring, and creating perfect square trinomials for Grade 10 Algebra students.
Mathematical Proofs: Introduction and Basic Techniques
This worksheet introduces fundamental concepts and techniques in mathematical proofs, suitable for Grade 10 students.
Three-Step Equations Worksheet
Solve three-step algebraic equations involving various operations for Grade 10 students.
Rearranging Equations Worksheet
A Grade 10 Math worksheet focused on rearranging algebraic equations to solve for specific variables.
Zero Product Property Worksheet
Practice applying the Zero Product Property to solve quadratic equations and other polynomial equations.
Parts of an Expression Review
This worksheet helps Grade 10 students identify and understand the different parts of algebraic expressions, including terms, coefficients, variables, and constants.