Which number is a factor of both 18 and 24?

Which number is a factor of both 18 and 24?

• A. 6
• B. 5
• C. 8
• D. 9

Answer: (A)

To determine which number is a factor of both 18 and 24, we first need to identify the factors of each number. The factors of 18 are 1, 2, 3, 6, 9, and 18. The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24. By comparing the lists of factors for both numbers, we see that the common factors are 1, 2, 3, and 6. Among these, the largest common factor is 6. Thus, 6 is identified as a factor of both 18 and 24, confirming that it is the correct answer. Factors are whole numbers that can be multiplied together to yield the original number, meaning that 6 can indeed be multiplied by 3 to provide 18 and by 4 to provide 24, illustrating that it divides both numbers without leaving a remainder.

To determine which number is a factor of both 18 and 24, we first need to identify the factors of each number.

The factors of 18 are 1, 2, 3, 6, 9, and 18.

The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24.

By comparing the lists of factors for both numbers, we see that the common factors are 1, 2, 3, and 6. Among these, the largest common factor is 6.

Thus, 6 is identified as a factor of both 18 and 24, confirming that it is the correct answer. Factors are whole numbers that can be multiplied together to yield the original number, meaning that 6 can indeed be multiplied by 3 to provide 18 and by 4 to provide 24, illustrating that it divides both numbers without leaving a remainder.