Greatest Common Factor and Prime Factorization

The video tutorial reviews the concept of the greatest common factor (GCF). It explains the meaning of 'greatest', 'common', and 'factor', and demonstrates how to find the GCF of two monomials, 10cd² and 25c³d², by breaking down the numbers and identifying common factors. The tutorial concludes with the GCF being 5cd².

What does the term 'greatest' refer to in the context of the greatest common factor?

• The largest number

• The median number

• The smallest number

• The average number

How can the number 10 be broken down into its prime factors?

• 3 times 3

• 5 times 2

• 2 times 3

• 4 times 2

In the expression 10cd², how many c's are present?

• Two

• Three

• None

• One

What is the prime factorization of 25?

• 4 times 6

• 3 times 3

• 5 times 2

• 5 times 5

In the expression 25c³d², how many d's are present?

• Four

• One

• Two

• Three

Which of the following is a common factor between 10cd² and 25c³d²?

• 5

• 2

• 3

• 4

What is the greatest common factor of 10cd² and 25c³d²?

• 5cd

• 10cd²

• 5c²d²

• 5cd²