To find the greatest common factor (GCF) of 32 and 2, we can list the factors of each number.
The factors of 32 are: 1, 2, 4, 8, 16, 32.
The factors of 2 are: 1, 2.
Now, we can identify the common factors: The common factors of 32 and 2 are: 1, 2.
The greatest of these common factors is 2.
Thus, the greatest common factor of 32 and 2 is 2.