![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/step1.JPG\")
First factor the each term in the expression.
\14 = 2 · 7
\21c = 3 · 7 · c
\The GCF is the product of the common prime factors in each term.
\GCF = 7
\![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/step2.JPG\")
Write each term as a product of the GCF and its remaining factors.
\14 + 21c = 7(2) + 7(3c)
\Combine like terms uisng distribuitve property: ab + ac = a(b + c).
\14 + 21c = 7(2 + 3c)![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/solution.JPG\")
Simplified expression is 7(2 + 3c).