Find Greatest Common Divisor of 1975231 and 1936877, using prime factorization.

Step 1 : Find prime factorization of each number.

$$\begin{aligned}1975231 =& 103\cdot127\cdot151\\[8pt]1936877 =& 101\cdot127\cdot151\\[8pt]\end{aligned}$$

(view steps on how to factor 1975231 and 1936877. )

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

$$\begin{aligned}1975231 =& 103\cdot\color{blue}{\boxed{127}}\cdot\color{red}{\boxed{151}}\\[8pt]1936877 =& 101\cdot\color{blue}{\boxed{127}}\cdot\color{red}{\boxed{151}}\\[8pt]\end{aligned}$$

Step 3 : Multiply the boxed numbers together:

$$ GCD = 127\cdot151 = 19177 $$

This solution can be visualized using a Venn diagram.

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

GCD Calculator