Finding the Greatest Common Factor

This video tutorial explains how to find the greatest common factor (GCF) of numbers using prime factorization. It provides multiple examples, including pairs of numbers and monomials with variables, and extends the concept to finding the GCF among three numbers. The tutorial emphasizes identifying common prime factors and calculating the GCF by multiplying these common factors.

What is the greatest common factor of 15 and 35?

• 7

• 5

• 3

• 15

Which number is the greatest common factor of 21 and 28?

• 4

• 7

• 14

• 3

What is the GCF of 22 and 55?

• 2

• 5

• 11

• 22

Identify the GCF of 12 and 16.

• 2

• 3

• 6

• 4

What is the greatest common factor of 15 and 18?

• 5

• 6

• 3

• 2

Find the GCF of 24 and 40.

• 8

• 6

• 4

• 10

What is the GCF of the monomials 6X and 9x^2?

• 6x

• 3x

• 3

• 9x

Determine the GCF of 12xy and 15x^2y^3.

• 6xy

• 3x^2y

• 3xy

• 6x^2y^3

What is the GCF of 24x^2y^3 and 30x^3y^4?

• 12xy^3

• 6xy^3

• 12x^2y^3

• 6x^2y^3

What is the GCF of the numbers 12, 18, and 20?

• 1

• 4

• 2

• 3