Find Greatest Common Divisor of 6699 and 8265, using prime factorization.

Step 1 : Find prime factorization of each number.

$$\begin{aligned}6699 =& 3\cdot7\cdot11\cdot29\\[8pt]8265 =& 3\cdot5\cdot19\cdot29\\[8pt]\end{aligned}$$

(view steps on how to factor 6699 and 8265. )

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

$$\begin{aligned}6699 =& \color{blue}{\boxed{3}}\cdot7\cdot11\cdot\color{red}{\boxed{29}}\\[8pt]8265 =& \color{blue}{\boxed{3}}\cdot5\cdot19\cdot\color{red}{\boxed{29}}\\[8pt]\end{aligned}$$

Step 3 : Multiply the boxed numbers together:

$$ GCD = 3\cdot29 = 87 $$

This solution can be visualized using a Venn diagram.

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

GCD Calculator