Everything except 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
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It wasn't me, but I would have come up with 33. The four factors of 33 add up to 48.
Four common factors: 1, 2, 3, 6.
The factors of 48 are... 1,2,3,4,6,8,12,16,24 & 48
Since 24 is a factor of 48, the factors of 24 will be factors of 48.
In that range, the number with the most factors is 48 (10) 36 has 9 and four others are tied with 8.