GCF-Greatest Common Factor

1. Objectives:
1.Identify Greatyest Common Factor (GCF)
2. Determine the greatest common factor of a
polynomial.
P R E P A R E D B Y : N I C A N D R O C . S A L A M A T
S S T - I
P I L I N A T I O N A L H I G H S C H O O L

2. EVALUATE THE FO LLO W ING
1.) 2•2 4
2.) 2•2•2•2 16
3.) 2•2•3 12
4.) 2•3•3 18
5.) 2•3•5 30

3. E VA L U AT E T H E F O L L O W I N G
6.) 2X•2X 4X²
7.) 2X•2X•2X•2X 16X
4
8.) 2X•3X•3X 18X
3
9.) 3X•3X•5X 45X
3
10.) 2X•3X•5X•Y•Y 30X Y
3 2

4. W H A T T H E N U M B E R S T H A T W H E N Y O U
M U L T I P L Y I S E Q U A L T O T H E G I V E N
N U M B E R ?
1.) 3 = 1 • 3
2.) 2 = 1 • 2
3.) 5 = 1 • 5
4.) 7= 1 • 7
5.) 11= 1•11

5. W H A T D O Y O U C A L L T H E N U M B E R S
T H A T W E C A N M U L T I P L Y T O G E T H E R T O
G E T A N O T H E R N U M B E R ?

6. WATCH AND LEARN

7. WHAT ARE FACTOR?

8. W H A T D O Y O U C A L L T H E N U M B E R S H A S
N O A T H E R F A C T O R E X C E P T 1 A N D
I T S E L F ?
P
RIME NUMBERS

9. A Prime number has no other
factor except 1 and itself.
WHAT IS PRIME NUMBER?
Example: 1=
2
1 • 1
= 1• 2
3 = 1• 3
5= 1• 5
6= 3• 2 = 6•1 Not prime no.

10. WHAT IS PRIME NUMBER?

11. G I V E T H E P R I M E FA C T O R I Z AT I O N
O F T H E F O L L O W I N G
1.) 4 = 2•2
2.) 8 = 2•2•2
3.) 12 =2•2•3
4.) 15 = 3• 5
5.) 18 = 3•3• 2

12. W H AT I S G C F ? ? ?

13. H O W T O D E T E R M I N E G C F ? ? ?

14. D E F I N E G C F ? ? ?
GCF = Greatest Common Factor
= is the greatest common factor
between two or more numbers.
http://www.ipracticemath.com/learn/numbersense/gcf

15. W H A T I S C O M M O N F A C T O R ?
Ex. 6
9
= 2•3
= 3•3
3 – is common factor
Common factor-are those that found
in both lists.
(https://www.mathsisfun.com/greatest-common-factor.htm

16. E X A M P L E
Find the GCF:
1.) 8 , 24
3.) 15x²y , 45xy
2.) 15 , 21
4.) 12x³y² , 18x²y³, 30x²y²
5.) 20x , 25y, 30z

17. A C T I V I T Y N O . _ _
Find the GCF:
1.) 16 , 40
2.) 8 , 24
3.) 12a²b³ , 18a³b²
4.) 24a²b , 32a³b²
5.) 12ab , 24a³b², 48a²b

18. THE END
GOODBYE! 