288 is one, 72 is the lowest one.
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In that range, the number with the most factors is 48 (10) 36 has 9 and four others are tied with 8.
The factors of 8 are: 1, 2, 4, 8 The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36
4, 6, 8, 9, 12, 18, 24, 36, 72
1,2,3,4,6,9,12,18,36 1,2,3,6,7,14,21,42
Factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36. The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72. All of the factors of 36 are also factors of 72.