Answer :

To find the greatest common factor (GCF) of the numbers 60, 84, and 72, we will follow these steps:

1. List the Factors:
- Factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
- Factors of 84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
- Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

2. Identify the Common Factors:
- Common factors of 60, 84, and 72: 1, 2, 3, 4, 6, 12

3. Find the Greatest Common Factor:
- The greatest common factor among 1, 2, 3, 4, 6, and 12 is 12.

Therefore, the greatest common factor of 60, 84, and 72 is 12. So, the correct choice is B) 12.