1. Factoring using GCF
Algebra I

2. Definitions
Prime number – is a whole number whose only factors are itself and one (a number can’t be factored any more)
Composite number – is an integer that can be factored
Greatest Common Factor – of two monomials is the product of their common factors (largest number that will go into 2 numbers)
Factored Form – A monomial is in factored form when it is expressed as the product of prime numbers and variables and NO variable has an exponent greater than 1.

3. Factor any problem into prime factors first
180 =
1) Factor 180
List them in
numerical
order
Now list out
All the
Prime
factors

4. 2) Find the GCF of 54, 63, 180 Which factors 54 = 63 =
do each of these
have in common?
54 =
63 =
180 =
The GCF is
Greatest Common Factor – of two monomials is the product of their common factors (largest number that will go into 2 numbers)

5. 3) Find the GCF of 24, 64, 80 Which factors 24 = 64 = do each of these
have in common?
24 =
64 =
80 =
The GCF is
Greatest Common Factor – of two monomials is the product of their common factors (largest number that will go into 2 numbers)

6. 4) Factor GCF of 10y2 + 15y Which factors 10y2 = 15y =
do each of these
have in common?
10y2 =
15y =
Use
distributive
property

7. 5) Factor GCF of 21ab – 33a2bc You try it 21ab = 33a2bc = Use
Which factors
do each of these
have in common?
Use
distributive
property

8. 6) Factor GCF of 4x3 – 12x2 +20x 4x3 = 12x2 = 20x = Use distributive
Which factors
do each of these
have in common?
4x3 =
12x2 =
20x =
Use
distributive
property

9. 7) Factor GCF of 2x3 + 4x2 + 6x You try it 2x3 = 4x2 = 6x = Use
Which factors
do each of these
have in common?
Use
distributive
property