1. Positive Numbers and the Number Line

2. Greatest Common Factor & Least Common Multiple

3. 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.

4. A new method for finding GCF & LCM…amazing!!
Prime Factorization!!

5. Listing Factors Method
Find the GCF Using Two Methods Example Find the GCF of 42 & 96
Listing Factors Method
Greatest Common Factor: 6
Prime Factorization Method 96
1 × 96
2 × 48
3 × 32
4 × 24
6 × 16
8 × 12 42
1 × 42
2 × 28
3 × 14
6 × 7
Bring down a number from every FULL column.

6. Listing Factors Method
Find the GCF Using Two Methods Example Find the GCF of 180 & 200
Listing Factors Method
Greatest Common Factor: 20
Prime Factorization Method
180
1 × 180
2 × 90
3 × 60
4 × 45
5 × 36
9 × 20
10 × 18
12 × 15
200
1 × 200
2 × 100
4 × 50
5 × 40
8 × 25
10 × 20

7. GCF Independent Practice Find the GCF of each pair of numbers.
12 & 15
18 & 48 3 6
15 & 60
42 & 70 15 14

8. Listing Multiples Method
Find the LCM Using Two Methods Example Find the LCM of 24 & 28
Listing Multiples Method
Least Common Multiple: 168
Prime Factorization Method 24 28 48 56 72 84 96
112
120
140
144
168
Bring down a number from EACH column.

9. Listing Multiples Method
Find the LCM Using Two Methods Example Find the LCM of 9, 27 & 45
Listing Multiples Method
Least Common Multiple: 135
Prime Factorization Method 9 27 45 18 54 90 81
135 36
108 63 72 99
117
136

10. LCM Practice Find the LCM of each pair of numbers
2 & 7
60 & 130 14
780
3, 6 & 9
14, 35 & 49 18
490