Question

find the h.c.f.of the following set of numbers 144,256 method
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Answer 1

Answer:

14 is the HCF of 144 and 256

Answer 2

Answer:

HCF of  $144, 256$  is $16$ .

Step-by-step explanation:

To find :

To find : HCF of  $144, 256$ .

Solution :  

• HCF is the highest common factor also called as greatest common divisor ,( GCD ).
• To find HCF of $144, 256$ we find prime factors of these numbers , then we highest common factors of these numbers .  
• Prime factors $144 = 2\times 2\times 2\times 2\times 3\times 3$

                                    $= 2^{4} \times 3^{2}$

• Prime factors of $256 = 2\times 2\times 2\times 2\times 2\times 2\times 2\times 2$

                                         $= 2^{8}$  

• HCF of $144, 256$ $= 2\times 2\times 2\times 2$

                                  $= 2^{4}$

                                  $= 16$