# How do you find the greatest common factor of 77, 66?

Nov 9, 2016

#### Answer:

$G C F \left(66 , 77\right) = 11$

#### Explanation:

factors 77: $\left\{1 , 7 , 11 , 77\right\}$

factors 66:$\left\{1 , 2 , 3 , 6 , 11 , 22 , 33 , 66\right\}$

common factors $\left\{1 , 7 , 11 , 77\right\} \cap \left\{1 , 2 , 3 , 6 , 11 , 22 , 33 , 66\right\}$

CF$\left\{1 , 11\right\}$

$G C F \left(66 , 77\right) = 11$