Understanding Prime Factorization and GCF

In this video, Sean Gannon from Minute Math teaches how to find the greatest common factor (GCF) of three algebraic expressions: 21x^3, 9x^2, and 15x. The process involves writing each expression in its prime factorization form, identifying common factors, and determining the GCF as 3x. The video concludes with a call to action to like and subscribe for more math lessons.

What is the main topic discussed in the video?

• Solving quadratic equations

• Finding the least common multiple

• Understanding linear equations

• Finding the greatest common factor

What are the expressions given in the problem?

• 21x, 9x^2, 15x^3

• 21x^3, 9x^2, 15x

• 21x^3, 9x, 15x^2

• 21x^2, 9x^3, 15x

What is the prime factorization of the coefficient 21?

• 6 x 3

• 2 x 11

• 3 x 7

• 5 x 4

How many x's are there in the expression 21x^3?

• 4

• 3

• 2

• 1

What is the prime factorization of the number 9?

• 3 x 3

• 2 x 4

• 5 x 2

• 6 x 1

How many x's are there in the expression 9x^2?

• 2

• 3

• 1

• 4

What is the prime factorization of the number 15?

• 3 x 5

• 5 x 2

• 2 x 7

• 4 x 3

How many x's are there in the expression 15x?

• 1

• 2

• 3

• 4

Which number is common in the prime factorization of all expressions?

• 7

• 5

• 3

• 2

What is the common variable factor in all expressions?

• x^2

• x^3

• x^4

• x