Oh honey, let me lay it out for you. The common factors of 35 and 48 are 1 and 5. That's it, no more, no less. So, if you were hoping for something more exciting, I hate to burst your bubble, but math doesn't always have to be a thrill ride.
48
The common factors of 16 and 48 are 16,8,4,2,1.
The factors for 25 are 1,5, and 25 The factors for 35 are 1,5, and 35 The common factors for 25 and 35 are 1, and 5
48 is a factor of 96, so all the factors of 48 (1,2,3,4,6,8,12,16,24,48) are common to 96 as well.
The positive common factors of 28 and 35 are: 1 and 7.