Find Greatest Common Divisor of 16261 and 85652, using prime factorization.

Step 1 : Find prime factorization of each number.

$$\begin{aligned}16261 =& 7\cdot23\cdot101\\[8pt]85652 =& 2\cdot2\cdot7\cdot7\cdot19\cdot23\\[8pt]\end{aligned}$$

(view steps on how to factor 16261 and 85652. )

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

$$\begin{aligned}16261 =& \color{blue}{\boxed{7}}\cdot\color{red}{\boxed{23}}\cdot101\\[8pt]85652 =& 2\cdot2\cdot\color{blue}{\boxed{7}}\cdot7\cdot19\cdot\color{red}{\boxed{23}}\\[8pt]\end{aligned}$$

Step 3 : Multiply the boxed numbers together:

$$ GCD = 7\cdot23 = 161 $$

This solution can be visualized using a Venn diagram.

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

GCD Calculator