College Algebra CLEP Prep Practice Exam

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What is the common factor of 56 and 72?

  1. 24

  2. 8

  3. 3

  4. 6

The correct answer is: 8

Both 24 and 8 can evenly divide both 56 and 72. However, 24 is not the common factor because it is not the largest possible number that can divide both 56 and 72 evenly. 8 is the largest factor that can evenly divide both numbers, making it the common factor. Option C, 3, is not a factor of either number. Option D, 6, is not the largest possible factor because both numbers are divisible by 8, which is a larger factor. Therefore, option B is the correct answer as it is the largest possible factor for both numbers.

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