Greatest Common Factor (GCF) of Monomials Worksheet
Practice finding the Greatest Common Factor (GCF) of monomials with this Grade 10 algebra worksheet.
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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.
Find the GCF of each pair of monomials.
1. GCF of \(12x^3y^2\) and \(18x^2y^5\)
2. GCF of \(24a^4b\) and \(36a^2b^3\)
3. GCF of \(15m^6n^3\) and \(25m^4n^7\)
4. GCF of \(7p^2q^4r\) and \(14p^5q^2r^3\)
Choose the correct GCF for each set of monomials.
5. What is the GCF of \(8x^2y^3\) and \(16x^4y\)?
\(8x^2y\)
\(16x^4y^3\)
\(8xy\)
\(2x^2y\)
6. Find the GCF of \(30a^5b^2c\) and \(45a^3b^4c^2\).
\(15a^3b^2c\)
\(15a^5b^4c^2\)
\(5a^3b^2c\)
\(30a^3b^2c\)
7. Explain the steps you would take to find the GCF of \(20x^3y^2z\) and \(30x^2y^4\).
Determine if the following statements are true or false.
8. The GCF of \(10ab^2\) and \(5a^2b\) is \(5ab\).
True
False
9. When finding the GCF of monomials, you always take the highest exponent for each variable.
True
False
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