There cannot be a common factor of just one number. To be common there need to be at least two numbers. If you find all the factors of two or more numbers, and you find some factors are the same ("common"), then the largest of those common factors is the Greatest Common Factor.
The common factors of 35 and 45 are: 1 and 5
The common factors of 24 and 45 are: 1 and 31 and 3
The factors of 45 are 1, 3, 5, 9, 15, 45. For them to be common, they need to be compared to another set of factors.
The common factors of 45 and 54 are: 1, 3, and 9
The common factors of 18 and 45 are 1, 3 and 9.
Since 45 is a factor of 90, all of its factors are common.
The common factors of 45 and 108 are: 1, 3 & 9.
Since 45 is a factor of 900, all of its factors are common.
Common factors of 45 and 999 are: 1, 3, and 9.
The common factors of 45 and 63 are 1, 3, and 9.
25, 27, and 45 share no common factors aside from 1.
The factors of 45 are 1, 3, 5, 9, 15, 45. For them to be common, they need to be compared to another set of factors.