Respuesta :

Answer: 90 :)

The greatest common factor (GCF) of 270 and 360 is 90!

gmany

Answer:

[tex]\large\boxed{GCF(270,\ 360)=90}[/tex]

Step-by-step explanation:

[tex]\begin{array}{c|c}270&2\\135&3\\45&3\\15&3\\5&5\\1\end{array}\\\\270=\boxed2\cdot\boxed3\cdot\boxed3\cdot3\cdot\boxed5\\\\\begin{array}{c|c}360&2\\180&2\\90&2\\45&3\\15&3\\5&5\\1\end{array}\\\\360=\boxed2\cdot2\cdot2\cdot\boxed3\cdot\boxed3\cdot\boxed5\\\\GCF(270,\ 360)=\boxed2\cdot\boxed3\cdot\boxed3\cdot\boxed5=90[/tex]