Greatest Common Factor Problems

The video tutorial covers the concept of the Greatest Common Factor (GCF), providing definitions and step-by-step instructions on how to find the GCF of two numbers. It includes examples, exercises, and real-world applications to enhance understanding. The tutorial also addresses common questions about GCF, such as its relationship to the numbers involved.

What is the greatest common factor of two numbers?

• The smallest number that divides both numbers

• The largest number that divides both numbers

• The sum of the two numbers

• The product of the two numbers

Which of the following is a factor of 12?

• 7

• 11

• 5

• 6

What is the GCF of 30 and 50?

• 20

• 5

• 10

• 15

What is the GCF of 96 and 144?

• 36

• 48

• 24

• 60

What is the GCF of 42 and 70?

• 7

• 21

• 14

• 6

What is the GCF of 30 and 45?

• 5

• 10

• 15

• 20

How many teams can be formed with 18 girls and 24 boys if each team has the same number of girls and boys?

• 8

• 6

• 4

• 3

In a trivia challenge, if each team must have the same ratio of girls to boys, what is the greatest number of teams that can be formed with 18 girls and 24 boys?

• 6

• 8

• 4

• 3

Can the GCF of two numbers be greater than both numbers?

• It depends on the numbers

• Yes, sometimes

• No, never

• Yes, always

If the GCF of two numbers is equal to one of the numbers, what does it imply?

• The numbers are consecutive

• The smaller number is a factor of the larger number

• The numbers are prime

• The numbers are equal