Question

find hcf of 28 and 42

Answer 1

Prime factorization of 28 = 2 × 2 × 7

Prime factorization of 42 = 2 × 3 × 7

H.C.F = 2 × 7 = 14.

                                    ▬▬▬▬▬

          28 ) 42 ( 1
              
                 28
            -----------
                14 ) 28 ( 2
 
                       28
                 ---------------
                       x

So, H.C.F of 28 and 42 is 14.

Answer 2

Answer:

14.

Step-by-step explanation:

Given:- The given numbers are 28 and 42.

To Find:- HCF of 28 and 42.

Solution:-

HCF or Highest common factor is the greatest or highest number that divides both the numbers.

We can find the HCF using various different methods, some are:

1. By listing factors method

2. By prime factorization

3. By division method

Here we will use prime factorization method.

28 = 2 × 2 × 7

42 = 3 × 2 × 7

∴ Common factor in 28 and 42 is 2 and 7.

Therefore, Highest common factor of 28 and 42 is 2 × 7 = 14.

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