To find the maximum number of bags she can pack, we need to find the highest common factor (HCF) of the given numbers.
Factors of 24 are:
Factors of 30 are:
We can observe that 6 is the highest common factor.
∴ The HCF of 24 and 30 is 6.
Hence, she can pack at most 6 bags, each containing 4 green beads and 5 orange beads.