GCF LCM and Distributive

A plumber has two pieces of plastic pipe. One piece is 20 feet long and the other is 30 feet long. She wants to cut each pipe in to pieces of equal lengths. What is the longest possible length of the pieces?

• 5 feet

• 10 feet

• 6 feet

• 12 feet

What is the GCF of 36 and 54?

Which pair of number has a GCF of 1?

• 51 and 17

• 20 and 9

• 24 and 27

• 14 and 44

Find the Greatest Common Factor (GCF) of 60 and 75

• 1

• 3

• 5

• 15

What is the least common multiple (LCM) of 6 and 8?

• 6

• 8

• 48

• 24

What is the least common multiple (LCM) of 15 and 2?

• 30

• 2

• 45

• 152

Two neon signs are turned on at the same time.  Both signs blink as they are turned on.  One sign blinks every 9 seconds.  The other sign blinks every 15 seconds.  In how many seconds will they blink together?

• 30

• 45

• 50

• 90

Rewrite the sum of the numbers as the product of their GCF and another sum. 36 + 45 = ?

• 6(6 + 9)

• 3(12+15)

• 9(4 + 5)

Find the missing number using the distributive property.
10 + 20  =  2(5 +  __)

• 2

• 4

• 5

• 10

What is the
least common multiple
 of 2 and 5? 

• 2

• 7

• 10

• 20