Hi there! The greatest common factor/divisor (gcf / gcd) is 3a.
We can see this by writing the numbers as multipliers:
[tex]24a ^{3} c = 8 * 3 * a* a* a * c [/tex]
[tex]3a = 3 * a[/tex]
Now we can see that the factors which are in common are 3 and a. Therefore the greatest common factor/divisor (gcf / gcd) of the two numbers is 3a.