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Find the HCF and LCM of 90 and 144 by the method of prime factorization.

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Find the HCF and LCM of 90 and 144 by the method of prime factorization.
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Solution:
90 = 2 x 3 x 3 x 5 = 2 x 32 x 5
144 = 2 x 2 x 2 x 2 x 3 x 3 = 24 x 32
HCF (90, 144) = 2 x 32 = 18
LCM (90, 144) = 24 x 32 x 5 = 720

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