Answer:
3 bags
Step-by-step explanation:
Suppose there are
x
bags of candy.
If the
33
blue gumballs are to be split evenly with no leftovers among the
x
bags, then
x
must divide evenly into
33
.
If the
24
green gumballs are to be split evenly with no leftovers among the
x
bags, then
x
must divide evenly into
24
.
To get the largest number of bags (
x
),
x
must be the Greatest Common Divisor of
33
and
24
Factoring:
33
=
3
×
8
24
=
2
×
2
×
2
×
3
The only common factor is
3
and therefore the product of the common factors is
3
or, in other words,
the Greatest Common Factor is
x
=
3
