find the greatest common factor of 32 and 27

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.