Greatest Common Factor
What is the GCF of 12 and 18?
6
What is the LCM of 4 and 6?
12
A teacher has 12 pencils and 18 erasers. She wants to make identical sets with no leftovers. What is the greatest number of sets she can make?
6 sets
Two buses arrive at a station. One comes every 12 minutes, the other every 18 minutes. After how many minutes will they arrive together?
36 minutes
Find the GCF of 20 and 30.
10
What is the GCF of 24 and 36?
12
What is the LCM of 5 and 7?
35
A baker has 24 muffins and 36 cookies. He wants to pack them into boxes with the same number of each item and no leftovers. What is the largest number of boxes he can make?
12 boxes
A traffic light flashes red every 15 seconds and green every 20 seconds. After how many seconds will both lights flash together?
60 seconds
Find the LCM of 8 and 12.
24
Find the GCF of 45 and 60.
15
Find the LCM of 8 and 12.
24
A farmer has 45 apples and 60 oranges. He wants to group them into baskets with the same number of each fruit and no leftovers. What is the greatest number of baskets he can make?
15 baskets
Two runners start at the same time. One runs a lap in 8 minutes, the other in 12 minutes. After how many minutes will they both finish a lap together?
24 minutes
Which is greater: GCF of 18 and 24, or LCM of 3 and 4?
GCF=6
LCM=12
LCM is greater
What is the GCF of 56 and 84?
28
What is the LCM of 9 and 15?
45
A school has 56 boys and 84 girls. They want to form teams with the same number of boys and girls and no one left out. What is the greatest number of teams they can form?
28 teams
A bell rings every 9 minutes, and another bell rings every 12 minutes. After how many minutes will they ring together?
36 minutes
Find both the GCF and LCM of 6 and 9.
GCF=3
LCM=18
Find the GCF of 72 and 108.
36
Find the LCM of 20 and 25.
100
A gardener has 72 tulips and 108 roses. She wants to plant them in rows with the same number of each flower and no leftovers. What is the greatest number of rows she can make?
36 rows
Three buses arrive at a station every 10, 15, and 20 minutes. After how many minutes will all three arrive together?
60 minutes
True or False: The GCF of two numbers is always smaller than their LCM.
True