Answer:
24
Step-by-step explanation:
Prime Factorise 72:
[tex]72=2*36\\72=2*2*18\\72=2*2*2*9\\72=2*2*2*3*3\\\\72=2^3*3^2[/tex]
Prime factorise 96:
[tex]96=2*48\\96=2*2*24\\96=2*2*2*12\\96=2*2*2*2*6\\96=2*2*2*2*2*3\\96=2^5*3[/tex]
Multiply the common factors of [tex]2^3*3^2[/tex] and [tex]2^5*3[/tex]:
[tex]2^3*3=24[/tex]
