The GCD of given numbers is 216.
Step 1 : Find prime factorization of each number.
$$\begin{aligned}432 =& 2\cdot2\cdot2\cdot2\cdot3\cdot3\cdot3\\[8pt]95256 =& 2\cdot2\cdot2\cdot3\cdot3\cdot3\cdot3\cdot3\cdot7\cdot7\\[8pt]\end{aligned}$$(view steps on how to factor 432 and 95256. )
Step 2 : Put a box around factors that are common for all numbers:
$$\begin{aligned}432 =& \color{blue}{\boxed{2}}\cdot\color{red}{\boxed{2}}\cdot\color{Fuchsia}{\boxed{2}}\cdot2\cdot\color{Orange}{\boxed{3}}\cdot\color{Purple}{\boxed{3}}\cdot\color{blue}{\boxed{3}}\\[8pt]95256 =& \color{blue}{\boxed{2}}\cdot\color{red}{\boxed{2}}\cdot\color{Fuchsia}{\boxed{2}}\cdot\color{Orange}{\boxed{3}}\cdot\color{Purple}{\boxed{3}}\cdot\color{blue}{\boxed{3}}\cdot3\cdot3\cdot7\cdot7\\[8pt]\end{aligned}$$Step 3 : Multiply the boxed numbers together:
$$ GCD = 2\cdot2\cdot2\cdot3\cdot3\cdot3 = 216 $$This solution can be visualized using a Venn diagram.
The GCD equals the product of the numbers at the intersection.