Question

find hcf by prime factorization 14,16​

Answer 1

Answer:

: 2[16

: 2[8

: 2[4

: 2[2

1

2[14

2[7.

1

14= 2× 7

16= 2×2×2×2

lcm = 2×7×2×2

= 56

${\bf{\pink{hcf = 2}}}$

Answer 2

Step-by-step explanation:

.2[16

.2[16: 2[8

.2[16: 2[8: 2[4

.2[16: 2[8: 2[4: 2[2

.2[16: 2[8: 2[4: 2[21

.2[16: 2[8: 2[4: 2[212[14

.2[16: 2[8: 2[4: 2[212[142[7.

.2[16: 2[8: 2[4: 2[212[142[7.1

.2[16: 2[8: 2[4: 2[212[142[7.114= 2× 7

.2[16: 2[8: 2[4: 2[212[142[7.114= 2× 716= 2×2×2×2

.2[16: 2[8: 2[4: 2[212[142[7.114= 2× 716= 2×2×2×2lcm = 2×7×2×2

.2[16: 2[8: 2[4: 2[212[142[7.114= 2× 716= 2×2×2×2lcm = 2×7×2×2= 56

.2[16: 2[8: 2[4: 2[212[142[7.114= 2× 716= 2×2×2×2lcm = 2×7×2×2= 56{\bf{\pink{hcf = 2}}}

hcf=2

Hope it help...