First of all, there can't be two different things that are both "greatest". You only get one. 3 is a factor of 36, and 3 is also a factor of itself. So it must be the greatest common factor of 3 and 36. If there was a greater factor common to both 3 and 36, it would have to be greater than 3.
The greatest common factor of 36 , 58 = 2
The greatest common factor of 36 and 57 is 3.
The greatest common factor of 27 and 36 is 9.
The greatest common factor of 17 and 36 is 1
The greatest common factor of 1624 , 36 = 4
4 is the greatest common factor of 36 and 140.
The greatest common factor of 147 and 36 is 3.
The greatest common factor of 36 and 400 is 4.
The greatest common factor of 79 , 36 = 1
The greatest common factor of 36, 60, and 96 is 12
The Greatest Common Factor (GCF) is: 9