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Find the HCF of 1008 and 1080 by prime factorization method.

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Find the HCF of 1008 and 1080 by prime factorization method.

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Prime factorization: 

1008 = 2 × 2 × 2 × 2 × 3 × 3 × 7 = 24 × 32 × 7 

1080 = 2 × 2 × 2 × 3 × 3 × 3 × 5 = 23 × 33 × 5 

HCF = Product of smallest power of each common prime factor in the number. 

 = 23 × 32 = 72

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