Answer:
[tex]\large\boxed{GCF(24x^5,\ 18x^9)=6x^5}[/tex]
Step-by-step explanation:
[tex]24x^5+18x^9\\\\24x^5=\boxed2\cdot2\cdot2\cdot\boxed3\cdot\boxed{x^5}\\\\18x^9=\boxed2\cdot\boxed3\cdot3\cdot\boxed{x^5}\cdot x^4\\\\GCF(24x^5,\ 18x^9)=\boxed2\cdot\boxed3\cdot\boxed{x^5}=6x^5[/tex]
