Question

find the HCF by prime factorisation method
32 , 48 , 96

Answer 1

Answer:

32=2^5

48=2^4×3

96=2^5×3

therefore the HCF is =2^4=16

Answer 2

Step-by-step explanation:

32= 2 × 2 × 2 × 2 × 2

=>

${2}^{5}$

48=2 ×2 ×2 × 2 × 3

=> 2⁴×3¹

96=2 × 2 × 2 × 2 × 2 × 3

=>

${2}^{5} \times {3}^{1}$

so for HCF we will 2⁴ because it is common in all of the three

hence the answer is 2⁴(16)