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Q.

Find the HCF of 84 and 144 by prime factorization method.


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a

    12

b

    20

c

    15

d

    18 

answer is A.

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Detailed Solution

Given,
The numbers are 84 and 144.
Prime factorization of 84 and 144 is,
⇒84=2×2×3×7 ⇒84= 2 2 × 3 1 × 7 1 ⇒144=2×2×2×2×3×3 ⇒144= 2 4 × 3 2  
⇒HCF(84,144)= 2 2 × 3 1 ⇒HCF(84,144)=4×3 ⇒HCF(84,144)=12  
Thus, the HCF of 84 and 144 is 12.
Therefore, option (1)     is correct answer.
 
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