Greatest Common Factor (GCF) of Monomials Worksheet
Practice finding the Greatest Common Factor (GCF) of monomials, including those with multiple variables and exponents, suitable for Grade 12 Algebra students.
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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 space provided.
1. The GCF of 12x³y² and 18x²y⁵ is .
2. For the monomials 24a⁴b³c and 36a²b⁶, the GCF is .
3. The GCF of -15m³n²p and 25m²n⁴ is .
4. Which of the following is the GCF of 40r²s³t and 60r⁴st²?
20r²s
20r⁴s³t²
10r²st
20r²s²t
5. The GCF of the monomials 7p²q³, 14pq², and 21p³q is:
7pq
7p³q³
7pq²
21p³q³
6. Find the GCF of 32x²y³z⁴, 48xy⁵z², and 80x³y²z³.
7. Explain the steps you would take to find the GCF of three monomials.
8. The GCF of 6a²b and 10ab³ is 2ab.
True
False
9. If two monomials have no common variables, their GCF is always a constant.
True
False
10. The area of a rectangle is given by the monomial 30x⁵y⁴. If the length of the rectangle is 6x²y, what is the GCF of the length and the area?
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