Find Greatest Common Divisor of 4088 and 966, using prime factorization.

Step 1 : Find prime factorization of each number.

$$\begin{aligned}4088 =& 2\cdot2\cdot2\cdot7\cdot73\\[8pt]966 =& 2\cdot3\cdot7\cdot23\\[8pt]\end{aligned}$$

(view steps on how to factor 4088 and 966. )

Step 2 : Put a box around factors that are common for all numbers:

$$\begin{aligned}4088 =& \color{blue}{\boxed{2}}\cdot2\cdot2\cdot\color{red}{\boxed{7}}\cdot73\\[8pt]966 =& \color{blue}{\boxed{2}}\cdot3\cdot\color{red}{\boxed{7}}\cdot23\\[8pt]\end{aligned}$$

Step 3 : Multiply the boxed numbers together:

$$ GCD = 2\cdot7 = 14 $$

This solution can be visualized using a Venn diagram.

The GCD equals the product of the numbers at the intersection.

GCD Calculator