Find Greatest Common Divisor of 530778276 and 30841329, using prime factorization.

Step 1 : Find prime factorization of each number.

$$\begin{aligned}530778276 =& 2\cdot2\cdot3\cdot3\cdot7\cdot421\cdot5003\\[8pt]30841329 =& 3\cdot10280443\\[8pt]\end{aligned}$$

(view steps on how to factor 530778276 and 30841329. )

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

$$\begin{aligned}530778276 =& 2\cdot2\cdot\color{blue}{\boxed{3}}\cdot3\cdot7\cdot421\cdot5003\\[8pt]30841329 =& \color{blue}{\boxed{3}}\cdot10280443\\[8pt]\end{aligned}$$

Step 3 : Multiply the boxed numbers together:

$$ GCD = 3 $$

This solution can be visualized using a Venn diagram.

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

GCD Calculator