1. **State the problem:** We have two numbers, one is $h$ and the other is 8. Their Least Common Multiple (LCM) is 24 and their Greatest Common Factor (GCF) is 4. We need to find the value of $h$. 2. **Recall the relationship between two numbers, their LCM, and GCF:** For any two numbers $a$ and $b$, the product of the numbers equals the product of their LCM and GCF: $$a \times b = \text{LCM}(a,b) \times \text{GCF}(a,b)$$ 3. **Apply the formula:** Let the two numbers be $h$ and 8. Then: $$h \times 8 = 24 \times 4$$ 4. **Calculate the right side:** $$24 \times 4 = 96$$ So, $$8h = 96$$ 5. **Solve for $h$:** $$h = \frac{96}{8} = 12$$ 6. **Verify the GCF:** The GCF of 8 and 12 is 4, which matches the given condition. **Final answer:** $$h = 12$$