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144 is the answer to 122 so can be easily prime factorized as 2x2x2x2x3x3

72 is 9x8, so can be prime factorized as 2x2x2x3x3

These two numbers, therefore, have in common prime factors of 2, 2, 2, 3 and 3.

Their greatest common factor is 72.

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Q: What will 144 have in common with the prime factorization of 72?
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Since 72 is a factor of 144, its whole prime factorization will be contained in the prime factorization of 144.


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