First, Let's study the divisibility Rules!

A number or variable that can be multiplied with another number or variable to produce the given term​

​

​What is a Factor?

First there is the 'Listing Method'

• 16 = 1, 2, 4, 8, 16

• 24 = 1, 2, 3, 4, 6, 8, 12, 24

• If we will compare the list of factors of 16 and 24, we can identify the common factors.

• GCF is the highest common factor that appears on the list.

• The GCF of 16 and 24 is 8.

Another way to find GCF is by the LADDER METHOD: I like to call it the CAKE METHOD.

Finding which prime factors multiply to create the actual number

​

Another way is called...
Prime Factorization

A diagram that shows all the factors of a given number​

​

Factor Tree

Find the Factors of each of the numbers given

Step 1:

30: 2 x 3 x 5

18: 2 x 3 x 3 ​

2 and 3 are the factors in common​

Example:

Highlight or Circle all the factors the two numbers have in common.

Step 2:

Some text here about the topic of discussion

Multiply the common factors to find the Greatest Common Factor of GCT

30: 2 x 3 x 5

18: 2 x 3 x 3 ​

​

GCF: 2 x 3 = 6​

Example:

Step 3

Some text here about the topic of discussion

Lets try a word problem!

Linda has 20 forks and 16 knives to place in a silverware holders at the fast food restaurant where she works. She wants to distribute them equally with no forks or knives left over.

2nd Read: Lets try a word problem!

Linda has 20 forks and 16 knives to place in a silverware holders at the fast food restaurant where she works. She wants to distribute them equally with no forks or knives left over. What is the greatest number of silverware holders Linda can stock?

Lets try a word problem!

Linda has 20 forks and 16 knives to place in a silverware holders at the fast food restaurant where she works. She wants to distribute them equally with no forks or knives left over. What is the greatest number of silverware holders Linda can stock?

Factors of 20: 1, 2, 4, 5, 10, 20

Factors of 16: 1, 2, 4, 8, 16

The greatest number of silverware holder Linda can stock is 4

Answer

Stanley is putting together first-aid kits. He has 20 large bandages and 15 small bandages, and he wants each kits to be identical, with no bandages left over. What is the greatest number of first-aid kits Stanley could put together?

Factor of 20: 1, 2, 4, 5, 10, 20

Factor of 15: 1, 3, 5, 15

The greatest number of first-aid kits Stanley can put together is 5.

Answer

The Lin Corporation would like to donate 4 computer and 6 printers to local schools. The corporation would like to make sure that each school receives the same set of computers and printers, with none left over. What is the greatest number of schools that the Lin Corporation can donate to?

4: 1, 2, 4

6: 1, 2, 3, 6

The greatest number of schools that the Lin Corporation can donate to is 2.