# Find the greatest common factor of 28 and 36?

Feb 5, 2018

$4$

#### Explanation:

Using the prime factorization method,

$28 = {2}^{2} \cdot 7$

$36 = {2}^{2} \cdot 9$

So, the greatest common factor is ${2}^{2}$.

${2}^{2} = 4$

$\therefore G C F$ of $28$ and $36$ is $4$.