GAIC Math 2024 Problem 94

A person has some $2 \times 5 \times 8$ bricks and some $2 \times 3 \times 7$ bricks, as well as a $10 \times 11 \times 14$ box. All bricks and the box are rectangular prisms. He wants to pack all the bricks into the box so that the bricks can fill the entire box. The number of bricks he can fit into the box is _____ pieces.