1. **State the problem:** Factor the expression $$\frac{8}{3} - \frac{2}{3}x$$ using the greatest common factor (GCF). 2. **Identify the GCF:** Both terms $$\frac{8}{3}$$ and $$\frac{2}{3}x$$ have a common factor of $$\frac{2}{3}$$. 3. **Factor out the GCF:** $$\frac{8}{3} - \frac{2}{3}x = \frac{2}{3}(\text{?})$$ 4. **Find the expression inside the parentheses:** Divide each term by $$\frac{2}{3}$$: - $$\frac{8}{3} \div \frac{2}{3} = \frac{8}{3} \times \frac{3}{2} = 4$$ - $$\frac{2}{3}x \div \frac{2}{3} = x$$ 5. **Write the factored form:** $$\frac{8}{3} - \frac{2}{3}x = \frac{2}{3}(4 - x)$$ 6. **Check the options:** The correct choice is $$\frac{2}{3}(4 - x)$$. **Final answer:** $$\boxed{\frac{2}{3}(4 - x)}$$