Question

what is the hcf of 14,16​

Answer 1

In context to questions asked

We have to determine the value of HCF of 14 and 16

As we know that

HCF of two or more numbers is that particular number which is highest common factor of the given number.

So for determining the HCF of 14 and 16 we will use prime factorisation method

So prime factorisation of 14 and 16 will be

$14 = 2 \times 7 \\ 16 = 2 \times 2 \times 2 \times 2 \\ hcf = 2 \: common \: numbers$

Hence HCF of 14 and 16 will be 2

Answer 2

To find : HCF of $14$ and $16$ .

Solution :  

• HCF is the highest common factor also called as greatest common divisor ,( GCD ).

• To find HCF of $14$ and $16$ we find prime factors of these numbers .

• Prime factors are:
• Prime factors of $14 =2\times 7$
• Prime factors of $16 = 2\times 2\times2\times 2$  

                                       $= 2^{4}$

• HCF of $14$ and $16$ = $2$  

Hence , HCF of  $14$ and $16$  is $2$ .

             

 

Hence , HCF of 32,64 and 256 is 32.