Final answer:
The GCF of 10 and 12 is found by comparing the factors of both numbers, which reveals that the largest common factor is 2.
Step-by-step explanation:
The student asked to find the Greatest Common Factor (GCF) for the numbers 10 and 12. To find the GCF, first list the factors of each number. The factors of 10 are 1, 2, 5, and 10, and the factors of 12 are 1, 2, 3, 4, 6, and 12. Comparing the factors of both numbers, the largest factor that they have in common is 2. Therefore, the GCF of 10 and 12 is 2.