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Prime factors of 36 are: 2^2 and 3^2

Prime factors of 144 are: 2^4 and 3^2

Prime factors common to both number are 2^2 and 3^2 which when multiplied equals 36 making it the HCF

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6y ago
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6y ago

144 = 2^4*3^236 = 2^2*3^2

HCF = lowest powers of each prime between the two factorisations.

So HCF = 2^2*3^2 = 36.

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Q: How can we Find HCF of 144 and 36 by prime factorization method?
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ladder method of 144


What do 144 and 72 have in common with the prime factorization?

Since 72 is a factor of 144, its whole prime factorization will be contained in the prime factorization of 144.


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It is: 2*2*2*2*3*3 = 144 or in exponents 24*32 = 144


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