Question

find the Hcf by Prime factorization of 24 and 32​

Answer 1

$\bf\pink{QuestioN:-}$

Find the HCF  of 24 and 32​  by Prime factorization method.

$\bf\purple{AnsweR :-}$

The given numbers are ,

                            24 & 32

We need to find its HCF by prime factorization.

1st case

• Prime factorization of 24.

     $\longrightarrow\bf{24= 2\times2\times2\times3}$

2nd case

• Prime factorization of 32.

     $\longrightarrow\bf{32=2\times2\times2\times2\times2}$

HCF : ▬

• The highest common factors of both these numbers are,

• 2 × 2 × 2 , ie, 8.

• (2 × 2 × 2) are common in both these numbers. So it would be its HCF.

So the required answer is 8.

Done !! ☺