What is the greatest common divisor (GCD) of 24 and 36?

What is the greatest common divisor (GCD) of 24 and 36?

• A. 6
• B. 12
• C. 18
• D. 24

Answer: (B)

To determine the greatest common divisor (GCD) of two numbers, we look for the largest integer that divides both numbers without leaving a remainder. First, let's list the factors of 24 and 36. The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24. The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36. Now, we identify the common factors of both numbers by looking at the lists we created: The common factors of 24 and 36 are: 1, 2, 3, 4, 6, 12. From these common factors, the greatest one is 12. Therefore, the GCD of 24 and 36 is indeed 12, which confirms that answer choice B is correct. Finding the GCD can also be approached using the prime factorization method. The prime factorization of 24 is \(2^3 \times 3\) and the prime factorization of 36 is \(2^2 \times 3^2\). To find the

To determine the greatest common divisor (GCD) of two numbers, we look for the largest integer that divides both numbers without leaving a remainder.

First, let's list the factors of 24 and 36.

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

The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36.

Now, we identify the common factors of both numbers by looking at the lists we created:

The common factors of 24 and 36 are: 1, 2, 3, 4, 6, 12.

From these common factors, the greatest one is 12. Therefore, the GCD of 24 and 36 is indeed 12, which confirms that answer choice B is correct.

Finding the GCD can also be approached using the prime factorization method. The prime factorization of 24 is (2^3 \times 3) and the prime factorization of 36 is (2^2 \times 3^2). To find the