Greatest Common Factor Concepts

The video tutorial covers the concept of finding the greatest common factor (GCF) of numbers. It begins with an introduction to GCF, followed by examples of calculating GCF for various pairs of numbers. The tutorial then applies GCF to real-life scenarios, such as arranging books and organizing bands. It also explains how to rewrite sums using GCF and discusses finding the GCF of three numbers. Finally, the video addresses common mistakes in GCF calculations and provides corrections.

What is the GCF of 40 and 48?

• 4

• 12

• 16

• 8

Which of the following is the GCF of 25 and 90?

• 15

• 10

• 5

• 1

What is the GCF of 60 and 72?

• 8

• 12

• 6

• 10

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?

• 2

• 4

• 6

• 8

How many columns can the middle and high school bands form if they have 56 and 96 members respectively?

• 10

• 8

• 6

• 4

What is the GCF of 55 and 66?

• 5

• 6

• 11

• 12

Why is the GCF of some pairs of numbers 1?

• Because they are both prime

• Because they are consecutive numbers

• Because they have no common factors other than 1

• Because they are both even

How can the sum 60 + 30 be rewritten using the GCF?

• 3 times (20 + 10)

• 5 times (12 + 6)

• 10 times (6 + 3)

• 15 times (4 + 2)

What is the GCF of 24 and 40?

• 10

• 8

• 6

• 4

If the GCF of two numbers is 1, what does it imply about the numbers?

• They are both even

• They are both odd

• They are coprime

• They are multiples of each other