a) \( H C F \) 〈list aff Fadore \( \rangle \) a) \( 24=12 \) \( 60= \) b) \( 42= \) \( 90= \)

a) To find the Highest Common Factor (HCF) of two numbers, we need to find the largest number that divides both of them without leaving a remainder. Let's solve the given examples: a) \( H C F \) 〈list aff Fadore \( \rangle \) a) \( 24=12 \) \( 60= \) To find the HCF of 24 and 60, we can use the Euclidean algorithm or simply list the factors of each number and find the largest common factor. Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24 Factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60 The largest common factor is 12. So, \( 60 = 12 \times 5 \) b) \( 42= \) \( 90= \) To find the HCF of 42 and 90, we can use the same method. Factors of 42: 1, 2, 3, 6, 7, 14, 21, 42 Factors of 90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90 The largest common factor is 6. So, \( 42 = 6 \times 7 \) \( 90 = 6 \times 15 \) In summary: a) \( 24 = 12 \times 2 \) \( 60 = 12 \times 5 \) b) \( 42 = 6 \times 7 \) \( 90 = 6 \times 15 \)