Math Problem Statement
Find the GCF of 9a^2 and 6a^3
Solution
To find the Greatest Common Factor (GCF) of and , follow these steps:
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Factorize the coefficients and variables:
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Identify the common factors:
- Common factor of coefficients: The common factor of 9 and 6 is 3.
- Common factor of variables: The common factor of and is .
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Multiply the common factors:
- Coefficients:
- Variables:
Therefore, the GCF of and is:
Would you like more details on this process or have any questions?
Here are some related questions you might find useful:
- How do you find the GCF of three or more terms?
- What is the Least Common Multiple (LCM) of and ?
- How do you simplify expressions using the GCF?
- How can you apply the GCF in factoring polynomials?
- What are the differences between GCF and LCM?
Tip: Always factorize completely to ensure you don't miss any common factors when finding the GCF.
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Math Problem Analysis
Mathematical Concepts
Algebra
Greatest Common Factor (GCF)
Factorization
Formulas
GCF Formula: GCF(a^m, b^n) = Common Factor of Coefficients × Common Factor of Variables
Theorems
Fundamental Theorem of Arithmetic
Properties of Exponents
Suitable Grade Level
Grades 7-9