GCF
8 and 12
GCF = 4
PF of 8
PF =
2 * 2 * 2
-or-
23
List all the factors of 40
1 * 40
2 * 20
4 * 10
5 * 8
Sara has 16 red flowers and 24 yellow flowers. She wants to make bouquets with the same number of each color flower in each bouquet. What is the greatest number of bouquets she can make?
GCF = 8
Therefor Sara can make 8 total bouquet's
(2 Red with 3 Yellow in each)
35 and 55
GCF = 5
PF of 90
PF =
2 * 3 * 3 * 5
-or-
2 * 32 * 5
List all the factors of 66
1 * 66
2 * 33
3 * 22
6 * 11
A club has 16 girls and 8 boys as members. The president wants to break the club into groups, with each group containing the same combination of girls and boys. The president also wants to make sure that no one is left out. What is the greatest number of groups the president can make?
GCF of 16 and 8 = 8!
8 groups total with 2 girls and 1 boy in each group!
30 and 210
GCF = 30
PF of 50
PF =
2 * 5 * 5
-or-
2 * 52
List all the factors of 100
1 * 100
2 * 50
4 * 25
5 * 20
10 * 10
Joanne is campaigning for class president and plans to distribute some campaign materials: 20 flyers and 16 buttons. She wants each classroom to receive an identical set of campaign materials, without having any materials left over. What is the greatest number of classrooms Joanne can distribute materials to?
GCF of 16 & 20 = 4
Joanne can distribute to 4 classrooms (5 Flyers, and 4 Buttons to each!)
64 and 180
GCF = 4
PF of 125
PF =
5 * 5 * 5
-or-
53
List all the factors of 120
1 * 120
2 * 60
3 * 40
4 * 30
5 * 25
6 * 20
8 * 15
10 * 12
Peter has 18 oranges, 27 pears and 12 bananas. He wants to make fruit baskets with the same number of each fruit in each basket. What is the greatest number of fruit baskets he can make?
GCF of 18, 27, & 12
= 3
120 and 900
GCF = 60
PF of 360
PF =
2 * 2 * 2 * 3 * 3 * 5
-or-
23 * 32 * 5
List the factors of 51
1 * 51
3 * 17
Lisa has 12 coloring books, 28 markers, and 36 crayons. What is the greatest number of baskets she can make if each type of toy is equally distributed among the baskets?
GCF of 12, 28, & 36 = 4