Question

Use prime factorization to find the GCF of 18c cubed and 24c cubed

Answer 1

The GCF is 6c^3 

18/6 = 3
24/6 = 4

6c^3(3+4)

Answer 2

18x18x18
9x2 x 9x2 x 9x2
3x3 x 2 x 3x3 x 2 x 3x3 x 2
(3^6) x (2^3)

24x24x24
12x2 x 12x2 x 12x2
6x2 x 2 x 6x2 x 2 x 6x2 x 2
3x2 x2 x2 x 3x2 x 2 x 2 x 3x2 x 2 x2
(3^3) x (2^9)

at least (3^3) are in each and at least (2^3) are in each 
the greatest common factor will be 3^3 x 2^3 = 216