1. **State the problem:** Find the greatest common factor (GCF) of 40 and 32 and express the difference $40 - 32$ as a product involving the GCF. 2. **Find the GCF:** - List factors of 40: 1, 2, 4, 5, 8, 10, 20, 40 - List factors of 32: 1, 2, 4, 8, 16, 32 - Common factors: 1, 2, 4, 8 - Greatest common factor is $8$ 3. **Express the difference using the GCF:** $$40 - 32 = 8 \times (\frac{40}{8} - \frac{32}{8})$$ 4. **Calculate the terms inside the parentheses:** $$\frac{40}{8} = 5, \quad \frac{32}{8} = 4$$ 5. **Write the final expression:** $$40 - 32 = 8 \times (5 - 4)$$ **Answer:** - GCF = 8 - $40 - 32 = 8 \times (5 - 4)$