How do you find the GCF of the numbers 8, 16?

Oct 27, 2016

$G C F = 8$

Explanation:

List all the factors of both numbers, an then pick out the largest factor in common.

factors of $8$ --- $\left\{1 , 2 , 4 , 8\right\}$

factors of $16$---$\left\{1 , 2 , 4 , 8 , 16\right\}$

common factors: $\left\{1 , 2 , 4 , 8\right\} \cap \left\{1 , 2 , 4 , 8 , 16\right\} = \left\{1 , 2 , 4 , 8\right\}$

$\therefore G C F = 8$