Finding GCF and Prime Factorization

Anil Kumar explains how to find the greatest common factor (GCF) of numbers and algebraic terms. The video covers prime factorization of numbers 18, 24, and 42 to find their GCF, which is 6. It then demonstrates finding the GCF of algebraic terms 8x, 12x², and -20x³, resulting in a GCF of 4x. The video concludes with applying the GCF to factorize polynomials, setting the stage for further exploration in the next video.

What is the main focus of this video series?

• Understanding calculus

• Learning to factor polynomials

• Exploring geometry

• Studying trigonometry

Which numbers are used to demonstrate finding the GCF?

• 18, 24, 42

• 12, 18, 30

• 15, 25, 35

• 20, 30, 40

What is the first step in finding the GCF of numbers?

• Dividing the numbers

• Subtracting the numbers

• Adding the numbers

• Prime factorizing each number

What are the prime factors of 18?

• 2, 3, 3

• 2, 2, 3

• 3, 3, 3

• 2, 2, 2

Which factor is common among 18, 24, and 42?

• 9

• 5

• 2

• 7

What algebraic terms are used to find the GCF?

• 5x, 10x², -15x³

• 8x, 12x², -20x³

• 7x, 14x², -21x³

• 3x, 6x², -9x³

What is the prime factorization of 8?

• 2, 2, 2

• 3, 3, 3

• 2, 3, 3

• 2, 2, 3

What is the GCF of the coefficients 8, 12, and 20?

• 2

• 5

• 3

• 4

What is the common variable factor in the algebraic terms?

• x²

• x⁴

• x

• x³

What is the overall GCF of the algebraic terms?

• 5x

• 4x

• 2x

• 3x