Question

8-8 (a): greatest common factor (gcf)
find the gcf of each set of numbers.

1. 15, 40
2. 16, 36
3. 12, 54
4. 24, 64
5. 39, 26
6. 35, 63
7. 36, 48
8. 35, 28
9. 12, 30
10. monique has the flowers shown in the table. she wants to put all the flowers into decorative vases. each vase must have the same number of flowers in it. without mixing flowers, what is the greatest number of flowers that monique can put in each vase?

flower type	number
roses	25

Explanation:

Problem 1: Find GCF of 15 and 40

Step1: List factors of 15

Factors of 15: \(1, 3, 5, 15\)

Step2: List factors of 40

Factors of 40: \(1, 2, 4, 5, 8, 10, 20, 40\)

Step3: Identify common factors

Common factors: \(1, 5\)

Step4: Find the greatest common factor

Greatest common factor is \(5\)

Step1: List factors of 16

Factors of 16: \(1, 2, 4, 8, 16\)

Step2: List factors of 36

Factors of 36: \(1, 2, 3, 4, 6, 9, 12, 18, 36\)

Step3: Identify common factors

Common factors: \(1, 2, 4\)

Step4: Find the greatest common factor

Greatest common factor is \(4\)

Step1: List factors of 12

Factors of 12: \(1, 2, 3, 4, 6, 12\)

Step2: List factors of 54

Factors of 54: \(1, 2, 3, 6, 9, 18, 27, 54\)

Step3: Identify common factors

Common factors: \(1, 2, 3, 6\)

Step4: Find the greatest common factor

Greatest common factor is \(6\)

Answer:

5

Problem 2: Find GCF of 16 and 36