To find the greatest common factor (GCF) of 32 and 33, we start by determining the factors of each number.
The factors of 32 are: 1, 2, 4, 8, 16, 32.
The factors of 33 are: 1, 3, 11, 33.
Next, we identify the common factors between the two sets. The only common factor is: 1.
Therefore, the greatest common factor of 32 and 33 is \( \boxed{1} \).
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