Common Factors Worksheet
A Grade 10 math worksheet focusing on finding common factors of numbers and algebraic expressions.
Includes
Standards
Common Factors Worksheet
Name:
Date:
Score:
Read each question carefully and determine the common factors as instructed. Show all your work.
1. List all the common factors of 24 and 36.
2. What is the greatest common factor (GCF) of 48 and 72?
3. The prime factorization of 60 is . The prime factorization of 90 is . The GCF of 60 and 90 is .
4. If the prime factorization of number A is 2² × 3 × 5 and number B is 2 × 3² × 7, then their GCF is .
5. What is the greatest common monomial factor of 12x³y² and 18x²y⁴?
6x²y²
6x³y⁴
3x²y²
12x³y⁴
6. Factor the expression 5a²b - 15ab² completely by factoring out the GCF.
7. Find the GCF of the terms in the polynomial 6x³ + 9x² - 12x and then factor the polynomial.
8. The GCF of two prime numbers is always 1.
True
False
9. The GCF of x²y and xy³ is xy.
True
False
10. Find the greatest common factor of the terms in the expression 24a²b³c⁴ + 36a³b²c + 60a⁴bc².
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.