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

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What is the greatest common factor of 12 and 16?

The correct answer is: 4

To find the greatest common factor (GCF) of 12 and 16, we start by identifying the factors of each number. The factors of 12 are: 1, 2, 3, 4, 6, 12. The factors of 16 are: 1, 2, 4, 8, 16. Next, we look for the common factors between the two sets. The common factors of 12 and 16 are 1, 2, and 4. Among these, the greatest is 4. Thus, the GCF of 12 and 16 is 4, making this the correct answer. Understanding the concept of factors and how to find the GCF helps in various mathematical applications, such as simplifying fractions or solving problems involving ratios and proportions.