Finding the Greatest Common Factor

This video tutorial teaches how to find the greatest common factor (GCF) of algebraic expressions. It begins with an introduction to the concept and then provides three detailed examples: finding the GCF of 6x and 8x, 14y³, 8y², and 10y, and finally 25a⁴b³ and 10ab². Each example is broken down step-by-step, demonstrating how to factorize the terms and identify common factors. The video concludes with a summary and encourages viewers to engage with additional resources.

What is the main topic discussed in the video?

• Graphing linear equations

• Finding the greatest common factor of algebraic expressions

• Solving quadratic equations

• Finding the least common multiple

What is the first step in finding the GCF of 6x and 8x?

• Adding the coefficients

• Dividing the expressions

• Multiplying everything out

• Subtracting the smaller term from the larger term

Which two prime numbers multiply to give 6?

• 2 and 3

• 1 and 6

• 3 and 5

• 2 and 4

How can the number 8 be broken down into prime factors?

• 2 x 2 x 2

• 2 x 4

• 4 x 2

• 3 x 3

What is the GCF of 6x and 8x?

• 6x

• 8x

• 2x

• 3x

What is the first step in finding the GCF of 14y^3, 8y^2, and 10y?

• Adding the coefficients

• Finding the prime factors of each term

• Dividing each term by the smallest term

• Subtracting the smallest term from the largest term

Which two prime numbers multiply to give 14?

• 2 and 5

• 7 and 1

• 3 and 5

• 2 and 7

How can the number 8 be broken down into prime factors?

• 2 x 2 x 2

• 2 x 4

• 4 x 2

• 3 x 3

What is the prime factorization of 10?

• 2 x 2

• 5 x 5

• 3 x 3

• 2 x 5

What is the GCF of 14y^3, 8y^2, and 10y?

• 10y

• 2y

• y^3

• 2y^2