Greatest Common Factor (GCF) of Monomials Worksheet
Find the greatest common factor (GCF) of monomials, including those with variables and exponents. This worksheet is aligned with Grade 8 Algebra standards.
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Greatest Common Factor (GCF) of Monomials
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Read each question carefully and determine the Greatest Common Factor (GCF) for the given monomials. Write your answers in the spaces provided.
Find the GCF of the following pairs of numbers:
1. 12 and 18:
2. 24 and 36:
3. 15 and 25:
4. 40 and 60:
Determine the GCF for the variable parts of the following monomials.
5. x³ and x⁵:
6. y⁷ and y²:
7. a⁴b² and a²b³:
Find the GCF of the following monomials:
8. 6x² and 9x³:
9. 10y⁴ and 15y²:
10. 14ab² and 21a²b:
11. 8m⁵n³ and 12m²n⁴:
12. 5pqr and 10pq²:
13. Which of the following is the GCF of 18x²y and 27xy³?
9xy
3xy
9x²y³
6x²y³
14. The GCF of 20a³b² and 30a²b² is:
10a²b²
5a²b²
10ab
60a³b²
15. Explain in your own words how to find the GCF of two monomials. Provide an example to illustrate your explanation.
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