Question

find H.C.F. of 12 and 15 by prime factorization method
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Answer 1

Answer:

factors of 15 are : 1, 3, 5, 15. 1 and 3 are the only common factors (numbers which are factors of both 12 and 15). Therefore, the highest common factor of 12 and 15 is 3.

Step-by-step explanation:

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Answer 2

HCF of 12 and 15 is 3

Given :

The numbers 12 and 15

To find :

The HCF

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 12 and 15

Step 2 of 3 :

Prime factorise the given numbers

12 = 2 × 2 × 3

15 = 3 × 5

Step 3 of 3 :

Find the HCF

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

Hence the required HCF = 3

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