1. **State the problem:** Factor the greatest common factor (GCF) out of the expression $$-60a^3 + 54$$. 2. **Identify the GCF:** The coefficients are 60 and 54. The GCF of 60 and 54 is 6. 3. **Check the variable part:** The terms are $$-60a^3$$ and $$54$$. The first term has $$a^3$$, the second term has no $$a$$, so no variable factor common to both. 4. **Write the GCF:** The GCF is 6. 5. **Factor out the GCF:** $$-60a^3 + 54 = 6 \times \left( \frac{-60a^3}{6} + \frac{54}{6} \right)$$ 6. **Simplify inside the parentheses:** $$= 6 \times (-10a^3 + 9)$$ 7. **Final factored form:** $$\boxed{6(-10a^3 + 9)}$$ This matches the example given. Note: The user provided multiple problems but per instructions, only the first problem is solved here.