Question

find the hcf and lcm of 16 and 36 by prime factorization..?

Answer 1

The HCF of 16 and 36 is 4.
Check the picture for steps.....




Hope it helps.......

- Maheshwaran.

Answer 2

Answer:

HCF and LCM are 4 and 144 respectively.

Step-by-step explanation:

Given two numbers 16 and 36

we have to find the LCM and HCF by prime factorization.

Prime factors of 16 and 36 are

$16=2\times 2\times 2\times 2$

$36=2\times 2\times 3\times 3$

$\text{The common prime factors are }2\times 2$

Hence, $HCF(16,36)=2\times 2=4$

$LCM(16,36)=\frac{a\times b}{HCF(16,36)}=\frac{16\times 36}{4}=144$

HCF and LCM are 4 and 144 respectively.