Finding the Greatest Common Factor

The video tutorial explains how to find the greatest common factor (GCF) of numbers and variables. It begins with an introduction to the concept of GCF, followed by a step-by-step guide on identifying the largest number that divides two given numbers. The tutorial then shifts focus to finding the GCF of variables, emphasizing the importance of comparing exponents. The video concludes with a brief Q&A session to clarify any doubts.

What is the primary goal when finding the GCF of two terms?

• To find the largest number that divides both terms

• To find the smallest number that divides both terms

• To find the sum of the two terms

• To find any number that divides both terms

Which of the following is NOT a method to find the GCF of two numbers?

• Guessing the GCF without any calculation

• Starting with the largest number and working down

• Using a calculator to find the GCF

• Starting with the smallest number and working up

If two numbers are 34 and 51, what is their GCF?

• 17

• 3

• 51

• 1

What is the GCF of 24 and 36?

• 24

• 6

• 12

• 18

Which number is a common divisor of both 45 and 60?

• 5

• 15

• 10

• 20

What is the GCF of 8 and 12?

• 2

• 4

• 6

• 8

What is the GCF of 14 and 28?

• 7

• 21

• 14

• 28

Which of the following is a factor of both 16 and 24?

• 2

• 4

• 8

• 12

When comparing variables, what determines the GCF for the variable part?

• The largest degree of the variable

• The smallest degree of the variable

• The sum of the degrees

• The difference between the degrees

What is the GCF of x^3 and x^2?

• x^3

• x^2

• x

• 1