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Q.

The HCF of the numbers 72, 108, and 180 using the prime factorization method is ____.


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Detailed Solution

The HCF of the numbers 72, 108, and 180 using the prime factorization method is 36.
The given numbers are 72, 108, and 180.
Finding the prime factorization of 72, 108, and 180:
72=2×2×2×3×3 108=2×2×3×3×3 180=2×2×3×3×5 ⇒HCF=2×2×3×3=36 Therefore, the HCF of 72, 108, and 180 by prime factorization is 36.
 
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