There are many number that are greater than 25 and also have more factor but the number between 25 and 35 which have the greatest number of factors is number 30 because
factors of 26: 1,2,13,26
factors of 27: 1,3,9,27
factors o 28: 1,2,4,7,14,28
factors of 30: 1,2,3,5,6,15 and 30
factors of 32: 1,2,4,8,16,32
factors of 33: 1,3,11,33
factors of 34: 1,2,17,34
factors of 35: 1,5, 7,35
so 30 has more factors