A rectangular room has dimensions 13 244 units by 23 408 units. I want to tile the floor of this room using identical square tiles whose sides are an integer number of units. I do not want to have to cut any tiles. If I use the largest possible tile, what is the length, in units, of one side of this tile?

Acompany manufactures large valves, packed in boxes. a shipment consists of 1500 valves packed in 75 boxes. each box has the outer dimensions 1.2 x 0.8 x 1.6 m and the inner dimensions 1.19 x 0.79 x 1.59 m. the boxes are loaded on a vehicle (truck + trailer). the available capacity in the vehicle combination is 140 m3. each valve has a volume of 0.06 m3. - calculate the load factor on the box level (%). - calculate the load factor on the vehicle level (%). - calculate the overall load factor (%).