Greatest Common Factor (GCF) of Monomials
This worksheet focuses on finding the greatest common factor (GCF) of monomials, including those with variables and exponents, suitable for Grade 9 algebra students.
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Greatest Common Factor (GCF) of Monomials
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Read each question carefully and find the greatest common factor (GCF) for the given monomials. Show your work where applicable.
Find the GCF of each pair of monomials.
1. 12x³y² and 18x²y⁵
2. 25a⁴b³c and 30a²b⁴
Complete the blanks to find the GCF.
3. The GCF of 14m⁶n and 21m³n² is .
4. For the monomials 40p²q⁴ and 60p⁵q³, the GCF is .
5. Which of the following is the GCF of 36x²yz and 48xy²?
12xy
12x²y²
6xy
6x²y
Determine if the following statements are true or false.
6. The GCF of 7a²b and 11a³b is 77a³b².
True
False
7. The GCF of 10x² and 15x is 5x.
True
False
Find the GCF of the following sets of monomials.
8. 6ab², 9a²b, and 12a³b³
9. A rectangular garden has an area represented by 24x²y + 36xy². If the width of the garden is the GCF of the two terms, what are the expressions for the width and the length of the garden?
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