Given,
The expression are 18x^5,-14x^6,7x^7.
Required
The greatest common factor of the given terms.
The factor of the terms are:
[tex]\begin{gathered} 18x^5=2\times3\times3\times x\times x\times x\times x\times x \\ -14x^6=-2\times7\times x\times x\times x\times x\times x\times x \\ 7x^7=7\times x\times x\times x\times x\times x\times x\times x \end{gathered}[/tex]The greatest common factor of 18x^5, -14x^6, 7x^7 is x^5.
Hence, the greatest common factor is x^5.