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The prime factorization of 48 is 2X2x2x2x3.
The only number with that prime factorization has to be 48.
Prime factorization for 48=2x2x2x2x3 or 2to the power of 4 x 3
To find the HCF of two numbers you first need to break them down into their prime factors. In this case we get: 36 = 2x2x3x3 48 = 2x2x2x2x3 The next step is to identify any common prime factors. In this case, both numbers have two 2s and a 3 as prime factors. Multiply these together and you get 12. Therefore, the HCF of 36 and 48 is 12.
The HCF of 48 and 72 is 24. The LCM is 144.