Question

HCF of 36 and 40 by prime factorization method​

Answer 1

Answer:

The prime factorization of

40 Is 2×2×2×5

36 Is 2×2×3×3

The HCF of 36 and 40 is 4.

Step-by-step explanation:

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Answer 2

HCF of 36 and 40 = 4

Given :

The numbers 36 and 40

To find :

HCF of 36 and 40

Concept :

HCF :

For the given two or more numbers HCF is the greatest number that divides each of the numbers

Solution :

Step 1 of 3 :

Write down the given numbers

The given numbers are 36 and 40

Step 2 of 3 :

Prime factorise the given numbers

36 = 2 × 2 × 3 × 3

40 = 2 × 2 × 2 × 5

Step 3 of 3 :

Find the HCF

For the given two numbers HCF is the greatest number that divides each of the numbers

Hence the required HCF

= 2 × 2

= 4

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