Finding the Greatest Common Factor

The video tutorial explains how to find the greatest common factor (GCF) of two monomials. It begins by defining the GCF and then demonstrates the process of finding the prime factorization of the coefficients 108 and 96. The tutorial continues by identifying the common variable factors in the monomials and concludes by combining these factors to determine the GCF, which is 12x^5y^2.

What is the greatest common factor of two monomials?

• The smallest number that divides both coefficients

• The largest number that divides both coefficients

• The difference between the coefficients

• The sum of the coefficients

What is the first step in finding the GCF of the coefficients 108 and 96?

• Multiply the coefficients

• Add the coefficients

• Find the prime factorization

• Subtract the coefficients

Which of the following is a prime factor of 108?

• 5

• 2

• 7

• 11

How many factors of 2 are there in the prime factorization of 96?

• 6

• 4

• 3

• 5

How many factors of X do the two monomials share?

• 5

• 4

• 6

• 3

What is the common factor of Y in the two monomials?

• Y^4

• Y^3

• Y^2

• Y

What is the next step after identifying the common prime factors?

• Add the common factors

• Multiply the common factors

• Subtract the common factors

• Divide the common factors

What is the GCF of the coefficients 108 and 96?

• 18

• 12

• 8

• 6

What is the final GCF of the two monomials?

• 12x^5y^2

• 10x^5y^2

• 14x^5y^2

• 16x^5y^2

Why is it important to find the GCF of monomials?

• To simplify expressions

• To complicate calculations

• To increase the number of terms

• To make equations harder