Greatest Common Factors and Applications

The video tutorial covers the concept of common factors, using examples like Diego's bake sale to illustrate how to find common factors and greatest common factors. It explains the importance of these concepts in solving real-world problems and provides practice problems for students to apply their learning.

What is a factor in the context of numbers?

• A number that is always larger than the given number

• A number that divides another number without leaving a remainder

• A number that can only be multiplied by itself

• A number that is always a prime number

In Diego's bake sale, how many different ways can 48 brownies be packaged?

• 5 ways

• 6 ways

• 8 ways

• 10 ways

How can the greatest common factor be useful in real-life scenarios?

• It determines the speed of a moving vehicle.

• It is used to measure the volume of a container.

• It is used to calculate the area of a circle.

• It helps in finding the largest possible square to cover a surface without gaps.

What is the largest square size that can cover a bulletin board of 12 by 27 inches without gaps?

• 1 inch

• 9 inches

• 3 inches

• 6 inches

What is the greatest common factor of 30 and 18?

• 12

• 3

• 6

• 9

What is the greatest common factor of 42 and 15?

• 5

• 7

• 3

• 1

How many bags can be made with 24 pencils and 36 stickers, ensuring each bag has the same number of items?

• 12 bags

• 4 bags

• 6 bags

• 2 bags

What is the greatest common factor of 90 and 75?

• 20

• 5

• 10

• 15

Which of the following is NOT a factor of 42?

• 8

• 7

• 6

• 14

What is the greatest common factor of 42 and 50?

• 10

• 5

• 2

• 1