Question

Write 28 and 32 as the product of their prime factors and then determine their LCM and HCF

Answer 1

28 = 2 x 2 x 7
32 = 2 x 2 x 2 x 2 x 2
LCM =  224
HCF = 4

Answer 2

given that 
prime factorization for 28 and 32
28 = 2×2×7
32 = 2×2×2×2×2
LCM = product of the greatest power of each prime factors in the number

28 =2²×7
32 = 2^5

LCM = 2^5 × 7
         = 224
GCD = product of the smallest power of the each common factor in the        number.
28 = 2²×7
32 = 2^5

GCD = 2²
          = 4.