California Assessment of Student Performance and Progress (CAASPP) Math Practice Exam

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What is the greatest common factor of 24 and 36?

The correct answer is: 12

To determine the greatest common factor (GCF) of 24 and 36, we can start by finding the factors of each number. The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24. For 36, the factors are 1, 2, 3, 4, 6, 9, 12, 18, and 36. Next, we identify the common factors from both lists. The factors that appear in both sets are 1, 2, 3, 4, 6, and 12. Among these common factors, the largest one is 12. Therefore, the greatest common factor of 24 and 36 is 12. This means that 12 is the highest number that divides both 24 and 36 without leaving a remainder. Recognizing the GCF is crucial in various mathematical applications, such as simplifying fractions, finding common denominators, and solving problems involving ratios.