To reduce a fraction using the method described, the algorithm needs to compare the prime factors of the numerator and the denominator to identify and remove common factors.
The two most relevant and suitable data structures for this task would be:
- Two lists to hold the prime factors for comparison: This allows for straightforward storage and traversal of the factors, making it easy to compare the factors of the numerator and the denominator.
Using lists to hold the prime factors allows you to later iterate through both lists to identify common factors easily. After identifying the common factors, you can create the reduced numerator and denominator by removing these common factors.
Considering the provided options and the task requirements, the best response would be:
two lists to hold the prime factors for comparison.