Question

Carole can make the greatest number of bracelets by finding the greatest common factor (GCF) of 18 (red beads) and 24 (blue beads). The GCF of 18 and 24 is:

A. 3
B. 6
C. 9
D. 12

Answer 1

The greatest common factor (GCF) of 18 and 24 is 6, which is the highest number that divides both 18 and 24 without a remainder.

Step-by-step explanation:

The question revolves around finding the greatest common factor (GCF) of 18 and 24 to determine the most bracelets Carole can make with her red and blue beads. To find the GCF, we look for the highest number that divides both 18 and 24 without leaving a remainder. 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. The common factors of 18 and 24 are 1, 2, 3, and 6. The greatest of these is 6, which is the GCF of 18 and 24. Therefore, the correct answer is B. 6.