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Q.

The H.C.F. of 144 and 198 using the prime factorization method is ____.


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Detailed Solution

The H.C.F. of 144 and 198 using the prime factorization method is 18.
We have been given the numbers 144 and 198.
Prime factors of 144 and 198,
144=2×2×2×3×3   198=2×3×3×11  
Common factors in 144 and 198 are 2, 3 and 3.
The HCF of 144 and 198,
HCF =2×3×3=18  .
Therefore, the HCF of 144 and 198 is 18.
 
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