Aflorist is making flower arrangements with 32 roses and 40 tulips. each arrangement must be identical. what is the greatest number of arrangements the florist can make if all of the flowers are used?

We must find the greatest common factor so we can see what is the biggest number we can divide both numbers into so
find the factors
32=2 times 2 times 2 times 2 times 2
40=2 times 2 times 2 times 5
gcf=2 times 2 times 2=8
the answer is 8