Final answer:
The GCF of 45 and 76 is determined by listing out all the factors of each number. Upon comparison, the only common factor between the two numbers is 1, so the GCF is 1.
Step-by-step explanation:
To find the GCF (Greatest Common Factor) of 45 and 76 using a list of factors, we need to list out all of the factors of each number and then identify the greatest number that appears in both lists.
- Factors of 45: 1, 3, 5, 9, 15, 45
- Factors of 76: 1, 2, 4, 19, 38, 76
Upon reviewing both lists, we can see that the only common factor between 45 and 76 is 1. Therefore, the GCF of 45 and 76 is 1, not 3, 5, 9, or 15 as listed among the options provided. The correct answer to the GCF of 45 and 76 is not in the list of options provided to the student.