1. AIM: Greatest Common Factor
Do Now
Basic Skills Quiz #5
1

2. Basic Skills Quiz #5
1.) Subtract and write your answer in simplest form.
3
4
10
- 1
3
4
2.) Complete the following decimal operation.
6 ÷ 0.25
3.) Solve the following equation (SHOW ALL WORK).
x + 7 = 10
4.) Evaluate the following numeric expression using the order of
operations.
40 - 10 ÷ 2 + 7
5.) Round the following to the nearest tenth.
72.35
2

3. 3

4. Anticipatory Set
1.) Define Greatest.
2.) Define Common.
3.) Define Factor.
Greatest Common Factor
4

5. Anticipatory Set:
1.) Based on methods you have used in previous math
classes, find the greatest common factor of the following
numbers.
24: 1, 2, 3, 4, 6, 8, 12, 24
36: 1, 2, 3, 4, 6, 9, 12, 18, 36
2.) Explain the method you used to find the greatest
common factor.
5

6. 3.) Find the Prime Factorizations of the following
numbers. Write the answer in exponential form.
24 36
6

7. 3.) Find the Prime Factorizations of the following
numbers. Write the answer in exponential form.
24 36
6 4 6 6
2 3 2
2 2 2 3
3
7

8. 3.) Find the Prime Factorizations of the following
numbers. Write the answer in exponential form.
24 36
6 4 6 6
2 3 2
2 2 2 3
3
8

9. 3.) Find the Prime Factorizations of the following
numbers. Write the answer in exponential form.
24 36
6 4 6 6
2 3 2
2 2 2 3
3
24 = 23 3
36 = 22 32
9

10. 3.) Find the Prime Factorizations of the following
numbers. Write the answer in exponential form.
24 36
6 4 6 6
2 3 2
2 2 2 3
3
24 = 23 3
36 = 22 32
Finding Greatest Common Factor: The product of the
smallest power of each common factor.
10

11. Think-Pair-Share Activity:
Find the greatest common factor of the
following numbers using the prime factorizations
of the numbers.
1.) 40 56
11

12. 2.) 9 16
12

13. 3.) 84 54 144
13

14. Extra Practice
14

15. 4.) The parents are making sandwiches for the class picnic. They have 72 turkey
slices, 48 cheese slices, and 96 tomato slices. What is the greatest number of
sandwiches they can make if each sandwich has the same filling? (Use the prime
factorizations of the numbers)
15

16. 5.) Two bicycle enthusiasts are leaving Cincinnati at the same
time. One is biking 840 miles to Boston. The other is biking
440 miles to Atlanta. What is the greatest number of miles a
day each can bike if they want to cover equal distances each
day?
16

17. BEFORE YOU LEAVE:
1.) Why is the Greatest Common Factor of several numbers
the “Greatest” when it is less than or equal to the numbers?
17

18. Mr. Tjersland's Math 7
Homework: None
18

19. AIM: Greatest Common Factor
Find the greatest common factor of the following numbers using
the prime factorizations of the numbers.
1.) 40 56
3.) 84 54 144
19