Factoring out the GCF
Write 3 + 15 as a product of the GCF and another sum.
3(1+5)
Addison has 48 packs of Skittles and 36 packs of M&Ms. She wants to divide them into identical groups, with no packets left over. What is the greatest number of groups Addison can make?
12
List the first 5 multiples of 6.
6,12,18,24,30
What is the GCF of 4, 10?
2
12
Write 12 + 20 as a product of the GCF and another sum.
4(3 + 5)
Every fourth visitor to an aquarium gets a free bumper sticker. Every sixth visitor to that aquarium gets a free key chain. Which visitor will be the first one to get both the bumper sticker and the key chain?
The 12th visitor will be the first to get a bumper sticker and key chain. 12 is the LCM of 4 and 6.
What are the factors of 18?
1, 2, 3, 6, 9, 18
What is the GCF of 6, 24?
6
What is the LCM of 25 and 50?
50
Write 32 - 24 as the product of the GCF and another difference.
8(4 - 3)
Cy has 42 baseball cards and 70 football cards that he wants to group into the greatest number of packages possible. Each package will have the same number of baseball cards and the same number of football cards. How many packages will Cy make?
14
List the first 5 multiples of 12.
12, 24, 36, 48, 60
What is the GCF 12, 24?
12
What is the LCM of 9 and 15?
45
Write 48 - 36 as the product of the GCF and another difference.
12(4 - 3)
Pencils come in packs of 12, while eraser tops come in packs of 20. Craig wants to buy the least amount possible, but have enough pencils and erasers so that he has exactly one eraser top for each pencil. How many packs of pencils and how many packs of eraser tops does Craig need to buy?
He needs 5 packs of pencils and 3 packs of erasers.
Explanation: The LCM of 12 and 20 is 60, so he needs 60 pencils and erasers. Pencils come in packs of 12, so he needs 60/12 = 5 packs of pencils. Eraser tops come in packs of 20, so he needs 60/20 = 3 packs of eraser tops.
What are the factors of 24?
1, 2, 3, 4, 6, 8, 12, 24
What is the GCF of 16, 40?
8
What is the LCM of 8, 9, and 12?
72
Write 75 + 90 as the product of the GCF and another sum.
15(5 + 6)
Ms. Prime has 24 glue sticks, 36 boxes of crayons, and 18 rulers to make into school packets. What is the largest number of packets she can make with the supplies? How many of each supply will be in each packet?
6 packets; 4 glue sticks; 6 boxes of crayons, 3 rulers
What are the factors of 48?
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
What is the GCF of 28, 42?
14
At a display booth in an amusement park, every 2nd visitor gets a hat, every 7th visitor gets a t-shirt, and every 10th visitor gets a bookbag. Which visitor will be the first one to get all three items?