Question

Find the HCF of 18 and 36

Answer 1

18

The prime factorization of 36 is: 2 x 2 x 3 x 3. The prime factors and multiplicities 18 and 36 have in common are: 2 x 3 x 3. 2 x 3 x 3 is the gcf of 18 and 36. gcf(18,36) = 18.

Answer 2

HCF of 18 and 36 is 18

Given :

The numbers 18 and 36

To find :

HCF of 18 and 36

Solution :

Step 1 of 3 :

Write down the given numbers

The given numbers are 18 and 36

Step 2 of 3 :

Prime factorise the given numbers

18 = 2 × 3 × 3

36 = 2 × 2 × 3 × 3

Step 3 of 3 :

Find HCF of 18 and 36

We know that for the given two or more numbers HCF is the greatest number that divides each of the numbers

Hence the required HCF

= HCF of 18 and 36

= 2 × 3 × 3

= 18

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