Find the HCF of 144 and 180 by prime factorization method full method

Using the factor tree for the prime factorization of 144, 180 and 192

Factors of 144 = 2×2×2×2×3×3

Factors of 180 = 2×2×3×3×5

To find the LCM, we list all prime factors of 144, 180, 192 and their greatest exponents as follows:

Prime factors of 144, 180 and 192 (2, 2, 3)

LCM (144, 180, 192) =

2×2×2×2×2×2×3×3×5 = 2880

So, HCF(144, 180, 192) = 2×2×3 = 12.