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Q.

The H.C.F. of 84 and 98 using the prime factorization method is ____.


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Detailed Solution

The H.C.F. of 84 and 98 using the prime factorization method is 14.
We have been given the numbers 84 and 98.
Prime factors of 84 and 98,
84=2×2×3×7   98=   2 ×7×7  
Common factors in 84 and 98 are 2 and 7.
The HCF of 84 and 98,
HCF =2×7=14   .
Therefore, the HCF of 84 and 98 is 14.
 
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The H.C.F. of 84 and 98 using the prime factorization method is ____.