Question

find the HCF of the following by prime factorization and division method and tally them
1. 72 and 84​

Answer 1

Step-by-step explanation:

HCF of 72 and 84 by Prime Factorization

Prime factorization of 72 and 84 is (2 × 2 × 2 × 3 × 3) and (2 × 2 × 3 × 7) respectively. As visible, 72 and 84 have common prime factors. Hence, the HCF of 72 and 84 is 2 × 2 × 3 = 12.

Answer 2

Answer:

Step-by-step explanation:

72 = 2*2*2*3*3

84 = 2*2*3*7

Picking out the common factors:

The HCF = 2*2*3 = 12.

Division Method:

72 / 2 = 36

84/2 = 42

36 / 2 = 18

42 / 2 = 21

18 / 3 = 6

21/3 = 7

6 and 7 are co-prime,

so the HCF = 2*2*3 = 12.