2 x 2 x 2 x 3 x 3 = 72
2 x 2 x 3 x 3 x 3 = 108
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Since 72 is a factor of 144, its entire prime factorization will be contained in the prime factorization of 144.
Since 36 is a factor of 72, it will have everything in common with it.
there is no prime factorization of 72 except for 1 and 72
The prime factors are: 2,3
72 = 23 × 32