What is the greatest common factor (GCF) of 18 and 24?

To find the greatest common factor (GCF) of two numbers, in this case, 18 and 24, you can start by determining 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.

Next, identify the common factors between the two sets. The common factors of 18 and 24 are: 1, 2, 3, and 6. Among these, the largest is 6. Therefore, the greatest common factor of 18 and 24 is 6.

This value is significant because the GCF represents the largest integer that can divide both numbers without leaving a remainder, making it useful in various applications such as simplifying fractions, finding least common multiples, or solving problems involving ratios.