Warm-Up Exercises
1.) Write the prime factorization for 36
2.) What are some factors of 36?
Section 8.1
Section 8.2
Section 8.3
Section 8.4
Section 8.5
Section 8.6
Factors and Greatest Common Factors
Goals
 Students will be able to write the prime factorization
of numbers.
 Students will be able to find the GCF of monomials.
Standards
 11.0. Students apply basic factoring techniques to
second- and simple third-degree polynomials.
These techniques include finding a common
factor.
Communicate Effectively
 By using technology to receive, process and send
information
 By reading and writing at an appropriate grade level
 Demonstrate effective oral and listening skills
 Learn to use English to express themselves clearly
Goals
-Students will be able to write the
prime factorization of numbers.
-Students will be able to find the
GCF of monomials.
ESLR:
Communicate
Effectively
Standards
11.0. Students apply basic factoring techniques to
second- and simple third-degree polynomials.
These techniques include finding a common
factor.
Examples
 Write out the prime factorization of 60.
Goals
-Students will be able to write the
prime factorization of numbers.
-Students will be able to find the
GCF of monomials.
ESLR:
Communicate
Effectively
Standards
11.0. Students apply basic factoring techniques to
second- and simple third-degree polynomials.
These techniques include finding a common
factor.
Definition
 Factors that are shared by two or more whole numbers
are called common factors. The greatest of these
common factors is called the greatest common
factor (GCF).
 Examples:
 Factors of 12: 1,2,3,4,6,12
 Factors of 32: 1,2,4,8,16,32

Common Factors: 1,2,4
 Largest Common Factor = 4 = GCF
Goals
-Students will be able to write the
prime factorization of numbers.
-Students will be able to find the
GCF of monomials.
ESLR:
Communicate
Effectively
Standards
11.0. Students apply basic factoring techniques to
second- and simple third-degree polynomials.
These techniques include finding a common
factor.
Examples
 Find the GCF of 24 and 60
 Method 1: List the factors


Factors of 24: 1,2,3,4,6,8,12,24
Factors of 60: 1,2,3,4,5,6,10,12,15,20,30,60
 Largest common factor = 12 = GCF
 Method 2: Use Prime Factorizations


24 = 2223
60 = 2235
 Factors they have in common: 2,2
 GCF = 22 = 4
Goals
-Students will be able to write the
prime factorization of numbers.
-Students will be able to find the
GCF of monomials.
ESLR:
Communicate
Effectively
Standards
11.0. Students apply basic factoring techniques to
second- and simple third-degree polynomials.
These techniques include finding a common
factor.
Examples
 Find the GCF of 12 and 24 by listing out the factors
 Find the GCF of 100 and 60 by using the prime
Factorizations.
Goals
-Students will be able to write the
prime factorization of numbers.
-Students will be able to find the
GCF of monomials.
ESLR:
Communicate
Effectively
Standards
11.0. Students apply basic factoring techniques to
second- and simple third-degree polynomials.
These techniques include finding a common
factor.
Finding the GCF of Monomials
Find the GCF of 3x2 and 6x2.
Prime factorization of 3x2: 3xx
Prime factorization of 6x2: 23xx
Common Factors: 3xx = 3x2
Goals
-Students will be able to write the
prime factorization of numbers.
-Students will be able to find the
GCF of monomials.
ESLR:
Communicate
Effectively
Standards
11.0. Students apply basic factoring techniques to
second- and simple third-degree polynomials.
These techniques include finding a common
factor.
Student Example
Find the GCF of 8x2y and 20xy2.
Goals
-Students will be able to write the
prime factorization of numbers.
-Students will be able to find the
GCF of monomials.
ESLR:
Communicate
Effectively
Standards
11.0. Students apply basic factoring techniques to
second- and simple third-degree polynomials.
These techniques include finding a common
factor.
Homework
Section 8.1 Pg. 481 #’s 2-22 evens