Find the GCF of two monomials

The video tutorial explains the concept of the greatest common factor (GCF), starting with a review of factors as numbers that divide into terms. It demonstrates finding the GCF of numbers 18 and 48, confirming that 6 is the largest number that divides both. The tutorial then explores finding the GCF of variables, specifically T to the 4th and T, concluding that T is the largest factor. The lesson wraps up with a summary of the key points discussed.

What is the greatest common factor (GCF)?

• A number that is larger than both terms

• A number that is a multiple of both terms

• A number that divides into both terms

• A number that divides into only one term

Which of the following is the largest number that divides both 18 and 48?

• 12

• 3

• 6

• 9

How many times does 6 divide into 18?

• 4 times

• 5 times

• 3 times

• 2 times

What is the prime factorization of T to the 4th?

• T * T * T * T

• T * T * T

• T * T

• T

What is the greatest common factor of T and T to the 4th?

• T^3

• T^2

• T

• T^4