A rectangular sheet of iron, 96 cm long and 80 cm wide, should be cut into a square of the same size without any surplus. What is the longest side length of this square? How many pieces are they cut into?

A rectangular sheet of iron, 96 cm long and 80 cm wide, should be cut into a square of the same size without any surplus. What is the longest side length of this square? How many pieces are they cut into?

80 = 2 × 2 × 2 × 5, 96 = 2 × 2 × 2 × 2 × 3, the greatest common factor of 80 and 96 is: 2 × 2 × 2 = 16; (96 / 16) × (80 / 16), = 6 × 5, = 30 (blocks); answer: the longest side length of this square is 16 cm, which is cut into 30 blocks