Greatest Common Factor (GCF) of Monomials
This worksheet focuses on finding the greatest common factor (GCF) of monomials, a fundamental skill in algebra for Grade 11 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 all your work for full credit.
1. The GCF of two or more monomials is the product of the GCF of their coefficients and the power of each common variable.
2. To find the GCF of 12x²y and 18xy³, first find the GCF of 12 and 18, which is .
3. What is the GCF of 6a³b² and 15a²b⁴?
3ab
3a²b²
6a³b⁴
90a³b⁴
4. The GCF of 20x²y⁵z and 30x³y² is:
10xy
10x²y²
60x³y⁵z
5x²y²
5. Find the GCF of 14m⁴n²p and 21m²n⁵.
6. Determine the GCF of 36a²b³c, 48ab²c², and 60a³bc.
7. The GCF of 8x³ and 12x is 4x².
True
False
8. The GCF of 5ab and 10bc is 5b.
True
False
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