Finding the Greatest Common Factor

The video tutorial explains how to find the greatest common factor (GCF) of a set of integers, also known as the greatest common divisor (GCD). It introduces two methods: listing factor pairs and using a factor tree. The tutorial provides examples for each method, demonstrating how to find the GCF of 45 and 60, and then 12 and 18. Both methods yield the same result, confirming their validity.

What is another term for the Greatest Common Factor?

• Common Denominator

• Prime Factor

• Greatest Common Divisor

• Least Common Multiple

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

• Creating a factor tree

• Listing factor pairs

• Both A and B

• Using a calculator

What is the first step in listing factor pairs for a number?

• Guess the factors

• Use a calculator

• Start with the smallest integer

• Start with the largest number

Which number is NOT a factor of 45?

• 9

• 5

• 4

• 3

What is the greatest common factor of 45 and 60?

• 5

• 20

• 10

• 15

In Method 2, what is the first step in creating a factor tree?

• Start with the largest number

• Use a calculator

• Put the number in a box

• List all factors

Which of the following is a prime factor of 45?

• 2

• 6

• 4

• 3

What is the purpose of using a Venn diagram in Method 2?

• To find common prime factors

• To list all factors

• To calculate the LCM

• To check divisibility

What is the GCF of 12 and 18 using Method 1?

• 2

• 3

• 9

• 6

In the factor tree for 12, which numbers are prime factors?

• 2 and 3

• 2 and 4

• 3 and 4

• 1 and 6