+ Find greatest common factor and least common multiple; express the sum of numbers with a common factor as a multiple of a sum of numbers with no common factor Common Core 6.NS.B.4

+ Warm Up List all of the ways you can write the product of the number: 72 1 x 2 x 36 3 x 24 4 x 18 6 x 12 8 x 9

Can you list all the different ways Elly can make treat bags if each treat bag has the same amount of mints inside? Elly is making treat bags for her class party. Elly brought 20 mints.

In this lesson you will learn how to answer word problems and find the GCF by listing factor pairs.

Let’s Review Both 3 and 4 are factors of 12. Factors are numbers multiplied together to equal a product. 3 x 4 = 12 For example: 3 x 4 is a factor pair

Let’s Review The product 12 has these 6 factor pairs. 1 x 12 2 x 6 3 x 4 4 x 3 6 x 2 12 x 1

Core Lesson La’Nya has 16 pieces of gum. List all the different ways she can make treat bags if each treat bag has the same amount of gum inside. Example # 1:

Core Lesson 16 La’Nya can make one bag with 16 pieces of gum, or she can make 16 bags with 1 piece of gum in each or

Core Lesson La’Nya can make 2 bags with 8 pieces of gum in each, or she can make 8 bags with 2 pieces of gum in each. 8 8 or

Core Lesson La’Nya can make 4 bags with 4 pieces of gum in each, or she can make 4 bags with 4 pieces of gum in each. Same thing! or

Core Lesson # of bags # of treats in each bag 1x16 2x8 4x4 8x2 x1 List all the different ways La’Nya can make treat bags.

Erica and Craig are making treat bags for their class party. Erica brought 32 pieces of gum. Craig brought 40 chocolates. What is the greatest number of equal treat bags they can make?

Core Lesson 3 steps to finding the Greatest Common Factor 1.List the factor pairs. 2.Identify the common factors. 3. Find the biggest common factor. That is the Greatest Common Factor (GCF)

Core Lesson Find the greatest common factor of 32 and 40. Factor Pairs of 40 1x40 2x20 4x10 5x8 8x5 x4 20x2 40x1 3. Find GCF 1, 2, 4, 8 Factor Pairs of 32 1x32 2x16 4x8 8x4 x2 32x1 1. List factor pairs 2. Find common factors

Core Lesson Erica brought 32 pieces of gum. Factor Pairs of 32 # of bags# of treats 1x32 2x16 4x8 8x4 x2 32x1 4 gum

Core Lesson Factor Pairs of 40 # of bags# of treats 1x40 2x20 4x10 5x8 8x5 x4 20x2 40x1 Craig brought 40 chocolates. 5 chocolates

Core Lesson 5 mints The greatest number of equal treat bags Jon and Elly can make is 8. 4 gum 5 mints 4 gum Jon and Elly can combine bags.

Core Lesson Noah bought a bag of 56 Jolly Ranchers. Can you list all the different ways he can make treat bags if each treat bag has the same amount of jolly ranchers inside?

Core Lesson That makes 6 ways Noah can make treat bags. 1 x 20 2 x 10 4 x 5 5 x 4 10 x 2 20 x 1

Core Lesson