First, we're going to see if they have a similar GCF ( greatest common factor ).
64 = 4, 8, 12, 16, 20
48 = 8, 16, 24
As you can see, 16 is the GCF for 64 and 48.
This is how we solve the greatest number bouquets that can be made with no balloons left over.
The answer is 16.
Hope this helps!~