Answer
$7(2n^3-5n^2+4)$
Work Step by Step
Find the greatest common factor. Find the prime factors of each term and multiply the factors that are common to all the terms.
$14n^3=\underline 7\times2\times n\times n\times n$
$35n^2=\underline 7\times5\times n\times n$
$28=\underline 7\times2\times2$
GCF $=7$
Factor the GCF out of each term. Use the factors from each term that are not part of the GCF.
$14n^3-35n^2+28=7(2n^3-5n^2+4)$
