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Q.

Is it true that the H.C.F. of 81 and 117 using the prime factorization method is 10?


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a

True

b

False  

answer is B.

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Detailed Solution

We have been given the numbers 81 and 117.
Prime factors of 81 and 117,
81=3×3×3×3   117=3×3×13  
The common factors between two numbers are 3 and 3.
The HCF of 81 and 117,
HCF =3×3=9   Therefore, our statement is false.
The H.C.F. of 81 and 117 using the prime factorization method is 9.
Hence, option 2 is correct.
 
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