![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/step1.JPG\")
The number of chocolate chip cookies is 54, the number of oatmeal raisin cookies is 40 and the number of peanut butter cookies is 30.
\Find the greatest number of cookies in each bag as follows:
\Find the GCF of ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=42c30eaf019d838110361d88468ad1f0.png\")
.
![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=190ca8a18a6e1e6ea3fcf310362a6e08.png\")
In above factorization forms of both monomials, the common prime factors represented by the circle as follows:
\![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=ae86cb889235335e2ac010dbee77c8e1.png\")
The product of common prime factors of the monomial is called their greatest common factor(GCF).
\The GCF of ![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=42c30eaf019d838110361d88468ad1f0.png\")
is ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=d5a5054f99fdf8853c89468cc75dcef8.png\")
.So, the greatest number of cookies in each bag is 2.
Since ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=6e434b3b304dcf3d210525b3fac745cc.png\")
, the chocolate chip cookies 27 bags and the oatmeal raisin cookies 20 bags and the peanut butter cookies 15 bags.![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/solution.JPG\")
The greatest number of cookies in each bag is 2.