1. The problem is to find the greatest common factor (GCF) of 16 and 24. 2. First, find the prime factorization of each number: - $16 = 2^4$ - $24 = 2^3 \times 3$ 3. Identify the common prime factors with the smallest powers: - Both have the prime factor 2. - The smallest power of 2 in both factorizations is $2^3$. 4. Therefore, the GCF is: $$\text{GCF} = 2^3 = 8$$ 5. So, the greatest common factor of 16 and 24 is 8.