1. Finding the LCM (least common multiple) and GCF (greatest common factor)

2. Prime factorize 24 and 16 2416 2 x 12 4 x 4 4 x 32 x 2 2 x 2 2 x 2

3. Write the common factors where the Venn Diagram intersects. 24 = 2 x 2 x 2 x 316 = 2 x 2 x 2 x 2

4. Write the common factors where the Venn Diagram intersects. 24 = 2 x 2 x 2 x 316 = 2 x 2 x 2 x 2 2x2x2

5. Write the other factors of each number in the other side of the Venn Diagram 24 = 2 x 2 x 2 x 316 = 2 x 2 x 2 x 2 2x2x2 3232

6. The GCF is the product of the intersection  2x2x2=8 24 = 2 x 2 x 2 x 316 = 2 x 2 x 2 x 2 2x2x2 3232

7. The LCM is the product of all of the factors listed  3x2x2x2x2=48 24 = 2 x 2 x 2 x 316 = 2 x 2 x 2 x 2 2x2x2 3232

8. Prime factorize 45 and 36 4536 5 x 9 6 x 6 3 x 33 x 2 3 x 2

9. Write the common factors where the Venn Diagram intersects. 45 = 3 x 3 x 5 36 = 2 x 2 x 3 x 3

10. Write the common factors where the Venn Diagram intersects. 45 = 3 x 3 x 5 36 = 2 x 2 x 3 x 3 3 x 3

11. Write the other factors of each number in the other side of the Venn Diagram 45 = 3 x 3 x 5 36 = 2 x 2 x 3 x 3 3 x 3 52 x 2

12. The GCF is the product of the intersection  3x3=9 45 = 3 x 3 x 5 36 = 2 x 2 x 3 x 3 3 x 3 52 x 2

13. The LCM is the product of all of the factors listed  5x3x3x2x2=180 45 = 3 x 3 x 5 36 = 2 x 2 x 3 x 3 3 x 3 52 x 2

14. Now it’s your turn to try some more!!