2x2x2x3x3=72
72
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8 9
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2 4 3 3
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2 2
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Since 72 is a factor of 144, its entire prime factorization will be contained in the prime factorization of 144.
72 = 23 × 32
72 36,2 18,2,2 9,2,2,2 3,3,2,2,2
there is no prime factorization of 72 except for 1 and 72
Since 36 is a factor of 72, it will have everything in common with it.