Greatest Common Factor and Division

The video tutorial explains how to solve problems by identifying and factoring out the greatest common factor (GCF) of numbers and variables. It begins with an introduction to problem-solving using prime factorization, followed by a discussion on identifying common factors. The tutorial then explains the process of factoring out these common factors, including working with variables and exponents. Finally, it demonstrates how to finalize the solution by writing it in a simplified form.

What is the first step in solving the problem discussed in the video?

• Subtracting the numbers

• Finding the least common multiple

• Performing prime factorization

• Adding the numbers

What is the greatest common factor of 12 and 16?

• 8

• 6

• 4

• 2

Why can't 8 be the greatest common factor of 12 and 16?

• Because 8 is not a factor of 16

• Because 8 is not a factor of 12

• Because 8 is less than 4

• Because 8 is greater than 16

What is the greatest common factor of the numbers 12 and 16?

• 2

• 8

• 4

• 6

What happens when you factor out a number from an expression?

• You multiply the expression by the number

• You add the number to the expression

• You divide the expression by the number

• You subtract the number from the expression

What is the result of dividing 12 by 4?

• 2

• 3

• 6

• 4

What is the result of dividing 16 by 4?

• 3

• 2

• 4

• 5

What is the result of dividing 12x^2 by 4?

• 2x^2

• 6x^2

• 4x^2

• 3x^2

What is the result of dividing 16x by 4?

• 4x

• 2x

• 5x

• 3x

What is the largest variable factor that can be factored out from x^2 and x^3?

• x^2

• x

• x^3

• x^4