Respuesta :

Answer:

8

Step-by-step explanation:

There are 4 common factors of 24 and 40, that are 8, 1, 2, and 4. Therefore, the greatest common factor of 24 and 40 is 8.

[tex]\huge\textbf{Hey there!}[/tex]

[tex]\large\text{What is the greatest common factor of 24 \& 40?}[/tex]

[tex]\rightarrow\large\text{Looking for the GCF (Greatest Common Factor) of 24 \& 40}[/tex]

[tex]\rightarrow\large\text{But first list 24 \& 40 factors to find what the GCF is.}[/tex]

[tex]\bullet\large\text{ Factors of 24: \textbf{1, 2, 3, 4, 6, 8, 12, \& 12}}\\\large\boxed{{Because, 1\times24 = \bold{24}, \ 2\times12 = \bold{24}, \ 3\times8 = \bold{24}, \ \& \ 4\times6 = \bf 24}}[/tex]

[tex]\bullet\large\text{ Factors of 40: \bf 1, 2, 4, 5, 8, 10, 20, \& 40}\\\boxed{Because, 1\times40 = \bold{40}, \ 2\times20= \bold{40},\ 4\times10=\bold{40}, \ \& \ 5\times8 = \bf 40}[/tex]

[tex]\rightarrow\large\text{Like terms of 24 \& 40}[/tex]

[tex]\bullet\large\text{ 1, 2, 4, \& 8}[/tex]

[tex]\rightarrow\large\text{The biggest number of the like terms}\large\text{ is: \bf 8}[/tex]

[tex]\huge\boxed{\mathcal{T}\frak{herefore, answer\ is: \boxed{\mathsf{Option\ C. \ 8}}}}}}\huge\checkmark[/tex]

[tex]\huge\textbf{Good luck on your assignment \&}\\\huge\textbf{enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]