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You have provided the terms **20n³** and **15w²**.

To find the greatest common factor (GCF) of these two terms, follow these steps:

1. **Coefficients**: The GCF of 20 and 15 is 5 (since 5 is the largest number that divides both 20 and 15).

2. **Variables**: The terms have different variables (\(n^3\) and \(w^2\)). Since the variables are not the same, they don't contribute to the GCF.

Thus, the **GCF** of **20n³** and **15w²** is **5**.

Would you like more details on factoring or any further explanation?

Here are five questions to deepen understanding:
1. How would you find the GCF if the variables were the same?
2. What is the Least Common Multiple (LCM) of 20n³ and 15w²?
3. Can you factor out the GCF from an expression like \( 20n^3 + 15w^2 \)?
4. How would you approach this if negative coefficients were involved?
5. What would change if there were more terms with different powers?

**Tip**: When finding the GCF of algebraic terms, always factor both the numerical coefficients and the variables separately.

What is the greatest common factor (GCF) of 20n³ and 15w²?

Learn how to calculate the Greatest Common Factor (GCF) of 20n³ and 15w². This algebraic problem involves finding the GCF of the coefficients and understanding variable factoring. Suitable for students in Grades 8-10.

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