How do you find the greatest common factor of 10, 12?

Nov 7, 2016

$G C F \left(10 , 12\right) = 2$

Explanation:

Factors 10:$\left\{1 , 2 , 5 , 10\right\}$

factors 12:$\left\{1 , 2 , 3 , 4 , 6 , 12\right\}$

common factors:$\left\{1 , 2 , 5 , 10\right\} \cap \left\{1 , 2 , 3 , 4 , 6 , 12\right\}$

$= \left\{1 , 2\right\}$

$G C F \left(10 , 12\right) = 2$