Question 1: Find the common factors of 18 and 24.

Answer: 1, 2, 3, 6

Question 2: List all common factors of 42 and 56.

Answer: 1, 2, 7, 14

Question 3: Calculate the greatest common factor (GCF) of 36 and 48.

Answer: 12

Question 4: Simplify the fraction 24/36 using common factors.

Answer: 2/3

Question 5: What are the common factors of 15 and 25?

Answer: 1, 5

Question 6: Identify the common factors of 60 and 75.

Answer: 1, 3, 5, 15

Question 7: Use common factors to simplify the fraction 45/60.

Answer: 3/4

Question 8: A bag contains 24 red balls and 36 blue balls. How can the balls be grouped into the largest possible equal groups based on common factors?

Answer: Group into 12 each, with 2 red and 3 blue in each group.

Question 9: Construct two numbers with a common factor of 8.

Answer: e.g., 16 and 24

Question 10: Identify the mistake in this reasoning: The common factors of 20 and 30 are 10, so their GCF is 10.

Answer: Incorrect; common factors are 1, 2, 5, 10, but GCF is 10, which is correct. Trick question: the mistake might be assuming 10 is the greatest without checking. Correct fixing: GCF is 10.

Question 11: Find all common factors of 81 and 90, and identify the GCF.

Answer: 1, 3, 9; GCF = 9

Question 12: Determine the largest common factor of 100 and 150 and use it to simplify the fraction 100/150.

Answer: 50; simplified fraction: 2/3

Question 13: Challenge: Find two numbers greater than 50 that have a GCF of 25.

Answer: e.g., 75 and 100