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To find the greatest common factor (GCF) of 32 and 27, we can use the prime factorization method.
The prime factorization of 32 is 2^5 (since 32 can be expressed as 2 × 2 × 2 × 2 × 2).
The prime factorization of 27 is 3^3 (since 27 can be expressed as 3 × 3 × 3).
To find the GCF, we look for the common prime factors and take the lowest exponent for each common prime factor. In this case, both 32 and 27 have a common prime factor of 2, but there are no other common prime factors.
Therefore, the GCF of 32 and 27 is 2^0, which is equal to 1.
So, the greatest common factor of 32 and 27 is 1.