Find Greatest Common Divisor of 3223 and 5654, using prime factorization.
Answer
The GCD of given numbers is 11.
Explanation
Step 1 : Find prime factorization of each number.
$$\begin{aligned}3223 =& 11\cdot293\\[8pt]5654 =& 2\cdot11\cdot257\\[8pt]\end{aligned}$$(view steps on how to factor 3223 and 5654. )
Step 2 : Put a box around factors that are common for all numbers:
$$\begin{aligned}3223 =& \color{blue}{\boxed{11}}\cdot293\\[8pt]5654 =& 2\cdot\color{blue}{\boxed{11}}\cdot257\\[8pt]\end{aligned}$$Step 3 : Multiply the boxed numbers together:
$$ GCD = 11 $$This solution can be visualized using a Venn diagram.
The GCD equals the product of the numbers at the intersection.
This page was created using
GCD Calculator