24
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60, 72 and 84 are tied with twelve.
180
1,2,3,5,6,10,15,30
18 has the following factors: 1, 2, 3, 6, 9, and 18. This is a total of 6 factors. 30 has the following factors,: 1, 2, 3, 5, 6, 10, 15 and 30. This is a total of 8 factors. Therefore, 18 and 30 do not have the same number of factors.
The smallest number that has 9 and 12 as factors is 36.