Greatest Common Factor Problems

The video tutorial covers the concept of finding the greatest common factor (GCF) of numbers. It begins with an introduction to GCF, followed by detailed steps to find the GCF of various number pairs. The tutorial then applies GCF to solve real-life problems, such as arranging books and organizing bands. It also demonstrates how to rewrite sums using GCF and explains why the GCF of some numbers can be one. The video concludes with a discussion of key GCF concepts.

What is the greatest common factor of 40 and 48?

• 4

• 16

• 8

• 12

Which of the following is the GCF of 30 and 45?

• 20

• 10

• 5

• 15

What is the GCF of 25 and 90?

• 5

• 10

• 15

• 20

Find the GCF of 60 and 72.

• 6

• 8

• 10

• 12

What is the greatest common factor of 45 and 81?

• 7

• 3

• 9

• 5

Carlos has 32 novels and 24 autobiographies. What is the maximum number of shelves he can use if each shelf has the same number of books?

• 4

• 8

• 2

• 6

The middle school band has 56 members and the high school band has 96 members. What is the greatest number of columns they can be arranged into?

• 4

• 6

• 8

• 10

Rewrite the sum 56 + 64 using the GCF.

• 9(6 + 7)

• 6(9 + 8)

• 7(8 + 9)

• 8(7 + 8)

Why is the GCF of some pairs of numbers 1?

• They are both odd

• They are consecutive numbers

• They have no common factors other than 1

• They are both even

Tasha wants to rewrite 120 - 36 as a product of the GCF and another difference. What is the correct expression?

• 8(15 - 4)

• 10(12 - 3)

• 6(20 - 6)

• 12(10 - 3)