Final answer:
The GCF (Greatest Common Factor) of 12 and 30 is 6. It is the largest number that divides both numbers without a remainder.
Step-by-step explanation:
The GCF (Greatest Common Factor) of two numbers is the largest number that divides both of them without leaving a remainder. To find the GCF of 12 and 30, first list the factors of each number:
- Factors of 12: 1, 2, 3, 4, 6, 12
- Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30
Then, identify the common factors between both sets:
- Common factors of 12 and 30: 1, 2, 3, 6
The largest number in this list of common factors is 6, so the GCF of 12 and 30 is 6.