Prime Factorization
GCF
LCM
Application
100

Find the prime factorization of 180

22 x 32 x 5

100

What is the GCF of 8 and 12?

4

100

Find the LCM of 12 and 15.

60

100

A rectangular piece of metal sheet that measures 780 cm by 420 cm is cut into identical small square pieces. 

Find the greatest possible length of a side of each square.

60 cm is the length of each square

200

Rewrite this number in standard form

22 x 112

484

200

What is the GCF of 231 and 396?

33

200

Find the LCM of 60 and 75

300

200

The thickness of a Science book is 20 mm and that of a Mathematics book is 28 mm. Books of each type are stacked up in two separate piles. 

What will be the minimum height of each pile such that both piles are of the same height? 

140 mm is the minimum height of each pile

300

Find the prime factorization of 27720.

23 x 32 x 5 x 7 x 11

300

What is the GCF of 28, 63, and 91?

7

300

Find the LCM of 13, 14, and 15

2730

300

A rectangular piece of metal sheet that measures 780 cm by 420 cm is cut into identical small square pieces. 

Find the number of square pieces that can be obtained.

There are 91 square pieces of metal. 

400

What is the smallest 2-digit number that is a factor of 

27720 = 23 x 32 x 5 x 7 x 11

10 because 2x5

400

What is the GCF of 140, 210, and 350?

70

400

Find the LCM of 63, 117, and 273. Express your answer in exponential notation (no need to find the answer in standard form)

819

400

The thickness of a Science book is 20 mm and a Mathematics book is 28 mm. Books of each type are stacked up in two separate piles. 

Find the number of books in each pile for them to have the same height.

There are 7 Science books and 5 Mathematic books.