Finding the Greatest Common Factor

In this video, Anil Kumar explains how to find the greatest common factor (GCF) of monomials using two examples. The process involves breaking down each monomial into its prime factors and identifying the common factors. The video provides a detailed step-by-step guide for each example, demonstrating how to list all factors and find the GCF. The video concludes with a practice section, encouraging viewers to apply the method to additional examples.

What is the first step in finding the greatest common factor of monomials?

• Multiply the monomials together.

• List all the factors of each monomial.

• Add the coefficients of the monomials.

• Subtract the smaller monomial from the larger one.

How can the number 12 be expressed using prime factorization?

• 3 x 4

• 2 x 6

• 1 x 12

• 2 x 2 x 3

What is the prime factorization of 18?

• 2 x 3 x 3

• 3 x 6

• 1 x 18

• 2 x 9

What does the term 'coefficient' refer to in a monomial?

• The constant term in the monomial

• The sum of all factors

• The exponent of the variable

• The variable part of the monomial

Which of the following is a common factor of 12x^2y^3 and 18x^2y^2?

• 5

• 2

• y^3

• x^3

What is the greatest common factor of 12x^2y^3 and 18x^2y^2?

• 18x^2y^2

• 12x^2y^3

• 3x^2y

• 6x^2y^2

What is the first step in solving the second example of monomials?

• Multiply the monomials together.

• Subtract the smaller monomial from the larger one.

• List all the factors of each monomial.

• Add the coefficients of the monomials.

Which of the following is NOT a step in finding the GCF of monomials?

• Using prime factorization

• Multiplying all factors together

• Identifying common factors

• Listing all factors of each monomial

Which of the following is a common factor of 15x^2y^3z and 9x^3yz^2?

• 3

• x^3

• y^2

• z^2

What is the greatest common factor of 15x^2y^3z and 9x^3yz^2?

• 3x^2yz

• 9x^3yz^2

• 15x^2y^3z

• x^2y^2z^2