Question

Find the greatest common factor of 27
and 45
.

Answer 1

`\large\boxed{GCF(27,\ 36)=9}`

Explanation:

`\begin{array}c27&3\\9&3\\3&3\\1\end{array}\\\\27=\boxed3\cdot\boxed3\cdot3\\\\\begin{array}c45&3\\15&3\\5&5\\1\end{array}\\\\45=\boxed3\cdot\boxed3\cdot5\\\\GCF(27,\ 45)=\boxed3\cdot\boxed3=9`