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You have shared two terms: \( 13b^2 \) and \( 15b^3 \).

These expressions can be simplified further if you are looking to find their greatest common factor (GCF) or factorization.

### Finding the Greatest Common Factor (GCF):
1. **Coefficients**: The GCF of 13 and 15 is 1, because 13 and 15 have no common factors other than 1.
2. **Variables**: For the powers of \( b \), the smallest power between \( b^2 \) and \( b^3 \) is \( b^2 \). So, the GCF for the variable part is \( b^2 \).

Thus, the GCF of \( 13b^2 \) and \( 15b^3 \) is:
\[
\text{GCF} = b^2
\]

Would you like to explore more details on how to factor or use this result in solving related equations?

Here are 5 relative questions:
1. Would you like to explore factoring these terms completely?
2. Are you working on a problem where these terms are part of an equation?
3. Would you like to see how to use the distributive property with these terms?
4. Are you interested in finding the least common multiple (LCM) of these terms?
5. Do you need to simplify expressions that involve similar terms?

**Tip**: When finding the GCF, always look at both the coefficients and variables separately to ensure accuracy.

Learn how to find the greatest common factor (GCF) of the algebraic expressions 13b^2 and 15b^3. This guide will walk you through identifying the GCF using the coefficients and exponents. Suitable for Grades 7-9 students studying algebra.

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