Final answer:
The greatest common factor of 24 and 30 is 6, making option C the correct answer. Options A, B, and D are not correct because they are either not common factors of both numbers or not the greatest common factor. The correct answer is option C .
Step-by-step explanation:
The question being asked is what is the greatest common factor of 24 and 30. To find the greatest common factor (GCF), we need to list the factors of each number and determine the largest factor they have in common. First, let's list the factors of each number:
- Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
- Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30
Comparing these lists, we can see that the greatest common factor they share is 6. Therefore, the answer to the question is C) 6. Now let's briefly go over why the other options are not correct:
- Option A (4) is a factor of 24, but not a factor of 30.
- Option B (5) is a factor of 30, but not a factor of 24.
- Option D (3) is a common factor, but it's not the greatest one they share.
Understanding the process of finding the GCF is important because it has applications in simplifying fractions, finding least common multiples, and solving problems involving ratios in a variety of real-world and mathematical problems.