The greatest common factor (GCF) of 36 and 24 is 12. There are different methods to find the GCF of two numbers, including prime factorization, long division, and listing common factors. One way to find the GCF of 36 and 24 is to list their factors and find the greatest factor that they have in common. The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36, while the factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24. The greatest factor that they have in common is 12, which is the GCF of 36 and 24. Another way to find the GCF of 36 and 24 is to use prime factorization. The prime factorization of 36 is 2 × 2 × 3 × 3, while the prime factorization of 24 is 2 × 2 × 2 × 3. The common prime factors are 2, 2, and 3. Multiplying these factors gives 12, which is the GCF of 36 and 24.