A tailor

A tailor bought 72 meters of white cloth and 16 meters of blue cloth. The material was cut into equal lengths to make a school uniform. What was the greatest length of each piece of cloth that was cut?

Correct answer:

x =  8 m

Step-by-step explanation:

$$\begin{gathered} a=72\text{m} \\ b=16\text{m} \\ 72=2^3\cdot 3^2 \\ 16=2^4 \\ \text{GCD}(72,16)=2^3=8 \\ x=GCD(a,b)=GCD(72,16)=8\text{m} \end{gathered}$$

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