Example Find the HCF and LCM of 32 and 60 using prime factors Answer HCF of 32 and \( 60=2 \times 2=4 \) LCM of 32 and \( 60=2^{5} \times 3 \times 5 \) EXERCISE 1.3 1. List the factors of 27 and 36 and then find the HCF.

The factors of 27 are 1, 3, 9, and 27, while the factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36. The common factors between the two are 1, 3, and 9, which makes the HCF of 27 and 36 equal to 9. Now, if you’re wondering how this all connects to everyday life, think about making a playlist! If you have 27 songs and your friend has 36, the greatest number of songs you can use to create something everyone enjoys (without repeating) is 9. It's all about finding common ground, whether in music or math!