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Positive Numbers and the
Number Line
Greatest Common Factor
&
Least Common Multiple
Vocabulary
Factor – A number that divides evenly into
another number.
Greatest Common Factor – the greatest
number or expression that is a factor of two or
more numbers or expressions.
Multiple – a number that is the product of a
number and any non-zero whole number.
Least Common Multiple – a non-zero common
multiple with the smallest value.
A new method for finding
GCF & LCM…amazing!!
Prime Factorization!!
Find the GCF Using Two Methods
Example
Find the GCF of 42 & 96
Listing Factors Method
42
1 × 42
2 × 28
3 × 14
6×7
96
1 × 96
2 × 48
3 × 32
4 × 24
6 × 16
8 × 12
Greatest Common Factor: 6
Prime Factorization Method
Bring
down a
number
from every
FULL
column.
Find the GCF Using Two Methods
Example
Find the GCF of 180 & 200
Listing Factors Method
180
1 × 180
2 × 90
3 × 60
4 × 45
5 × 36
6 × 30
9 × 20
10 × 18
12 × 15
200
1 × 200
2 × 100
4 × 50
5 × 40
8 × 25
10 × 20
Greatest Common Factor: 20
Prime Factorization Method
GCF Independent Practice
Find the GCF of each pair of numbers.
12 & 15
3
18 & 48
6
15 & 60
15
42 & 70
14
Find the LCM Using Two Methods
Example
Find the LCM of 24 & 28
Listing Multiples Method
24
28
48
56
72
84
96
112
120
140
144
168
168
Least Common Multiple: 168
Prime Factorization Method
Bring
down a
number
from EACH
column.
Find the LCM Using Two Methods
Example
Find the LCM of 9, 27 & 45
Listing Multiples Method
9
27
45
18
54
90
27
81
135
36
108
45
135
54
63
72
81
90
99
108
117
136
135
Least Common Multiple: 135
Prime Factorization Method
LCM Practice
Find the LCM of each pair of numbers
2&7
14
60 & 130
780
3, 6 & 9
18
14, 35 & 49
490