Question

do x^2 - 5x +6 and x^2 -4x +4 have a common factor

Answer 1

well first you have to factor them both out

Answer 2

\(\large \begin{array}{cccllll}
x^2 &- 5x &+6\\
&\uparrow &\uparrow \\
&-3-2&-3\cdot -2
\end{array}\qquad \qquad
\begin{array}{cccllll}
x^2 &-4x &+4\\
&\uparrow &\uparrow \\
&-2-2&-2\cdot -2
\end{array}\)

what do you think?