This document provides information about factors and the greatest common factor (GCF). It defines key terms like factor, common factor, and greatest common factor. It explains that a factor is a number that is multiplied by another number to get a product. It provides steps for finding all the factors of a given number. It also explains that the GCF of two or more numbers is the largest factor that is common to both/all numbers. An example is provided where the GCF of 6 and 15 is 3. The document suggests practicing factors using a math workbook.

1. Mathmadics.org
“Focusing on Factors”

2. Key Vocabulary Words
• Factor — a number that is multiplied by
another number to get a product.
• Common Factor - a number that is a factor of
two or more numbers.
• Greatest Common Factor — the greatest
number that is a factor of two or more
numbers.
• Product — solution to a multiplication
problem.

3. “What is a Factor?”
• A factor is a number that is multiplied by another number
to get a product.
• Finding the factors of a number means breaking down a
number to find how it’s made up.
• How many different numbers can you multiply to get 16?
Here are ways 16 can be made.
1 x 16 = 16
2 x 8 = 16
4 x 4 = 16
A list of all factors of 16 are: 1, 2, 4, 8, 16.

4. Steps to Finding Factors of a Number
Factors of a Number!
• Step 1: Write your number and circle it!
16
• Step 2: Start with your 1 multiplication facts and
list out integers you can multiply to make the
number you circled. Underline each factor of the
number . Do not duplicate!
1 x 16 2 x 8 4 x 4
• Step 3: Write your list of factors from
smallest to largest. 1, 2, 4, 8, 16

5. Greatest Common Factor
The Greatest Common Factor (GCF) of two or more integers is the
largest integer that is a factor of the original numbers.
Common Factors of two or more integers are integers that are factors of
the original numbers.
For example, the GCF of 6 and 15 is 3, because the factors of 6 are
1,2, 3, and 6 the factors of 15 are 1, 3, 5, 15. The common factors of
the two numbers are 1 and 3 and 3 is the GCF.
6
15
- 1, 2,
3,
- 1,
5, 15
3,
6

6. A Greatest Common Factor- (GCF)
can be used to write a fraction in
lowest terms.
Example: A squirrel ate 6 of the 10 nuts from the bowl. In simplest
form, what fraction of the nuts did he eat?
First, write the factors of 6 and 10. Underline the GCF.
6 - 1, 2, 3, 6
10- 1, 2, 5, 10
You can use 2 to reduce or simplify your fraction by dividing the
numerator and denominator by the GCF to get a simplified fraction.
6 ÷ 2=3
10 ÷ 2 = 5
Answer: The squirrel ate 3/5 of the nuts.

7. Take out your Math Progress Daily to
Practice Factors!