1. Greatest Common Factor

2. a number that is multiplied by another to give a product.
Factor
a number that is multiplied by another to give a product.
7 x 8 = 56
Factors

3. What are the factors?
6 x 7 = 42
6 & 7
7 x 9 = 63
7 & 9
8 x 6 = 48
8 & 6
4 & 9
4 x 9 = 36

4. Finding
The Factors of a Number

5. Find all possible numbers that you can multiply together to get 12
Factors of 12
Find all possible numbers that you can multiply together to get 12
1 x 12
3 x 4
2 x 6
So, the factors of 12 are:
1, 2, 3, 4, 6, 12

6. Find all possible numbers that you can multiply together to get 24
Factors of 24
Find all possible numbers that you can multiply together to get 24
1 x 24
2 x 12
3 x 8
4 x 6
So, the factors of 24 are:
1, 2, 3, 4, 6, 8, 12, 24

7. Find all possible numbers that you can multiply together to get 36
Factors of 36
Find all possible numbers that you can multiply together to get 36
1 x 36
2 x 18
3 x 12
4 x 9
6 x 6
So, the factors of 36 are:
1, 2, 3, 4, 6, 9, 12, 18, 36

8. Factors of 108 So, the factors of 108 are:
How do we know we have all the factors?
Factors of 108
Find all possible numbers that you can multiply together to get 108 1 2 3 4 6 9 12 18 27 36 54
108
So, the factors of 108 are:
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

9. Finding the Greatest Common Factor (GCF) of 2 Numbers

10. Biggest, largest, highest
Greatest
Common
Same number
Numbers that you multiply to get the product
Factor

11. Find the GCF of
12 and 24
Step 1 : Find the factors of each number
12: 1, 2, 3, 4, 6, 12
24: 1, 2, 3, 4, 6, 8, 12, 24

12. Find the GCF of
12 and 24
Step 1 : Find the factors of each number
Step 2 : Find the common factors
12: 1, 2, 3, 4, 6, 12
24: 1, 2, 3, 4, 6, 8, 12, 24

13. Find the GCF of
12 and 24
Step 2 : Find the common factors
Step 3 : Find the greatest common factor
12: 1, 2, 3, 4, 6, 12
24: 1, 2, 3, 4, 6, 8, 12, 24
GCF of 12 and 24 is 12

14. Find the GCF of
24 and 36
Step 1 : Find the factors of each number
24: 1, 2, 3, 4, 6, 8, 12, 24
36: 1, 2, 3, 4, 6, 9, 12, 18, 36

15. Find the GCF of
24 and 36
Step 2 : Find the common factors
Step 1 : Find the factors of each number
24: 1, 2, 3, 4, 6, 8, 12, 24
36: 1, 2, 3, 4, 6, 9, 12, 18, 36

16. Find the GCF of
24 and 36
Step 3 : Find the greatest common factor
Step 2 : Find the common factors
24: 1, 2, 3, 4, 6, 8, 12, 24
36: 1, 2, 3, 4, 6, 9, 12, 18, 36
GCF of 24 and 36 is 12

17. Find the GCF of
36 and 54
Step 1 : Find the factors of each number
36: 1, 2, 3, 4, 6, 9, 12, 18, 24
54: 1, 2, 3, 6, 9, 18, 27, 54

18. Find the GCF of
36 and 54
Step 1 : Find the factors of each number
Step 2 : Find the common factors
36: 1, 2, 3, 4, 6, 9, 12, 18, 24
54: 1, 2, 3, 6, 9, 18, 27, 54

19. Find the GCF of
36 and 54
Step 2 : Find the common factors
Step 3 : Find the greatest common factor
36: 1, 2, 3, 4, 6, 9, 12, 18, 24
54: 1, 2, 3, 6, 9, 18, 27, 54
GCF of 36 and 54 is 18