The HCF of 108 and 144 is _______

Explanation

To find the HCF (Highest Common Factor) of 108 and 144, we can use the prime factorization method. Step 1: Prime Factorization Prime factors of 108: Prime factors of 144: Step 2: Find the Common Factors The common prime factors of 108 and 144 are 2 and 3. The lowest power of 2 common to both numbers is 22. The lowest power of 3 common to both numbers is 32. Step 3: Multiply the Common Factors HCF = 22 × 32 = 4 × 9 = 36 Final Answer The HCF of 108 and 144 is 36.