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Q.

Find the HCF of 12576 and 4052 by using the prime factorisation method.

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a

8

b

13

c

4

d

2

answer is C.

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Detailed Solution

Concept- First, we will find the prime factors of both the numbers given. And then find the prime factors which are common in these two numbers. Therefore the common number is the HCF.
By prime factorisation method, represent the product of prime factors
First for, 12576

12576 = 2 \times 2 \times 2 \times 2 \times 2 \times 3 \times 131

Similarly, for 4052

4052 = 2 \times 2 \times 1013

Now finding the HCF of two numbers,
we will take the product of the prime factors which are common to both the numbers i.e., 12576 and 4052.
There are only two same prime factors common among the prime factors of the numbers 12576 and 4052
Therefore, HCF of

12576 and 4052 = 2 \times 2 = 4

So, the HCF of the two numbers i.e., 12576 and 4052 is 4.
Hence, the correct option is 3.

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