# Do the following numbers share common factors? If so, which is the greatest common factor?: {240, 96, 144}

Apr 29, 2016

Common factors are $\left\{1 , 2 , 3 , 4 , 6 , 8 , 12 , 16 , 24 , 48\right\}$ and hence
Greatest Common Factor is $48$.

#### Explanation:

Factors of $240$ are $\left\{1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 , 12 , 15 , 16 , 20 , 24 , 30 , 40 , 48 , 60 , 80 , 120 , 240\right\}$

Factors of $96$ are $\left\{1 , 2 , 3 , 4 , 6 , 8 , 12 , 16 , 24 , 32 , 48 , 96\right\}$

Factors of $144$ are $\left\{1 , 2 , 3 , 4 , 6 , 8 , 9 , 12 , 16 , 18 , 24 , 36 , 48 , 72 , 144\right\}$

Hence common factors are $\left\{1 , 2 , 3 , 4 , 6 , 8 , 12 , 16 , 24 , 48\right\}$

Greatest Common Factor is $48$.