\(\begin{array}{c|c}2&32\\\hline2&16\\\hline 2&8\\\hline 2&2\\\hline&1\end{array}\) \(\begin{array}{c|c} 2&54\\\hline3&27\\\hline3&9\\\hline3&3\\\hline &1\end{array}\)
Prime factorisation of 32 & 54 is
32 = 2 x 2 x 2 x 2 x 2
54 = 2 x 3 x 3 x 3
∴ HCF(32, 54) = 2.