Find the greatest common factor. $$ 15 q^{3}, 3 q^{3}, 3 q^{4} $$

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1. Identify the coefficients for each term:
   - For $$15q^3$$, the coefficient is $$15$$.
   - For $$3q^3$$, the coefficient is $$3$$.
   - For $$3q^4$$, the coefficient is $$3$$.

2. Find the greatest common factor (GCF) of the coefficients:
   - The GCF of $$15$$, $$3$$, and $$3$$ is $$3$$.

3. Identify the powers of $$q$$ in each term:
   - For $$15q^3$$, the power of $$q$$ is $$3$$.
   - For $$3q^3$$, the power of $$q$$ is $$3$$.
   - For $$3q^4$$, the power of $$q$$ is $$4$$.

4. For the variable $$q$$, take the lowest exponent among the terms:
   - The smallest exponent is $$3$$, so the common part is $$q^3$$.

5. The overall GCF is the product of the GCF of the coefficients and the lowest power of $$q$$:
   - Hence, the GCF is $$3q^3$$.
The greatest common factor is $$3q^3$$.

Find the greatest common factor. \( 15 q^{3}, 3 q^{3}, 3 q^{4} \)

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