1. **State the problem:** Kylie has 30 oatmeal cookies and 48 chocolate chip cookies. She wants to divide them into identical containers so that each container has the same number of each kind of cookie. 2. **Goal:** Find the greatest number of cookies per container, which means finding the greatest number of containers such that each container has the same number of oatmeal and chocolate chip cookies. 3. **Key concept:** To divide the cookies evenly with the greatest number of containers, we need to find the greatest common divisor (GCD) of 30 and 48. 4. **Find the GCD of 30 and 48:** - Prime factors of 30: $2 \times 3 \times 5$ - Prime factors of 48: $2^4 \times 3$ - Common prime factors: $2$ and $3$ - Multiply common factors: $2 \times 3 = 6$ 5. **Interpretation:** The greatest number of containers is 6. 6. **Check:** - Oatmeal cookies per container: $\frac{30}{6} = 5$ - Chocolate chip cookies per container: $\frac{48}{6} = 8$ Each container will have 5 oatmeal and 8 chocolate chip cookies. **Final answer:** Kylie needs 6 plastic containers.