let's calculate the factors of each number
[tex]\begin{gathered} \text{factor of 32 :}\mleft\lbrace1,2,4,8,16,32\mright\rbrace \\ \text{factors of 27:}\mleft\lbrace1,3,9,27\mright\rbrace \\ \end{gathered}[/tex]so the greatest common factor between 32 and 27 is 1