Find the greatest common factor of the terms of the polynomial. $$ 12 q^{3}-16 q^{2} $$

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To find the greatest common factor (GCF) of the terms of the polynomial $$ 12 q^{3} - 16 q^{2} $$, we will follow these steps:

1. **Identify the coefficients and variables of each term**:
   - The first term is $$ 12 q^{3} $$.
   - The second term is $$ -16 q^{2} $$.

2. **Find the GCF of the coefficients**:
   - The coefficients are $$ 12 $$ and $$ -16 $$.
   - The factors of $$ 12 $$ are $$ 1, 2, 3, 4, 6, 12 $$.
   - The factors of $$ 16 $$ are $$ 1, 2, 4, 8, 16 $$.
   - The common factors are $$ 1, 2, 4 $$.
   - The greatest common factor of $$ 12 $$ and $$ 16 $$ is $$ 4 $$.

3. **Find the GCF of the variable parts**:
   - The variable parts are $$ q^{3} $$ and $$ q^{2} $$.
   - The GCF of $$ q^{3} $$ and $$ q^{2} $$ is $$ q^{2} $$ (the lowest power of $$ q $$).

4. **Combine the GCF of the coefficients and the variable parts**:
   - The GCF of the polynomial $$ 12 q^{3} - 16 q^{2} $$ is $$ 4q^{2} $$.

Thus, the greatest common factor of the terms of the polynomial is $$ \boxed{4q^{2}} $$.
The greatest common factor of the polynomial $$ 12 q^{3} - 16 q^{2} $$ is $$ 4q^{2} $$.

Find the greatest common factor of the terms of the polynomial. \[ 12 q^{3}-16 q^{2} \]

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