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?

  1. 2

  2. 4

  3. 6

  4. 8

The correct answer is: 4

To determine the greatest common factor (GCF) of 12 and 16, we first find the factors of each number. The factors of 12 are: 1, 2, 3, 4, 6, and 12. The factors of 16 are: 1, 2, 4, 8, and 16. Next, we identify the common factors between the two sets, which are 1, 2, and 4. Among these common factors, 4 is the largest. Therefore, the greatest common factor of 12 and 16 is 4. Recognizing the GCF is useful for simplifying fractions, solving problems involving ratios, or finding divisibility patterns, highlighting its importance in various mathematical applications.