Greatest Common Factor Methods

The video tutorial explains three methods to find the greatest common factor (GCF): the factor tree method, the sled method, and the list method. Each method is demonstrated with examples, showing how to break down numbers into their prime factors, use division to find common factors, and list all factors to identify the largest common one. The tutorial emphasizes the importance of understanding multiplication facts and choosing the method that works best for the learner.

Which of the following is NOT a method for finding the greatest common factor mentioned in the video?

• Factor Tree

• List Method

• Division Method

• Sled Method

In the factor tree method, what is the first step you should take?

• Multiply the numbers together

• Divide the numbers by their smallest factor

• Complete a factor tree for each number

• List all factors of the number

What is the greatest common factor of 32 and 24 using the factor tree method?

• 12

• 8

• 6

• 4

Which method involves creating a chart to organize prime factors?

• Division Method

• Factor Tree

• List Method

• Sled Method

What is the key rule in the factor tree method for determining the greatest common factor?

• Add all prime numbers

• Divide the largest number by the smallest

• Multiply all numbers in the chart

• Bring down pairs of numbers

In the sled method, what is the first step after placing the numbers in the sled?

• Circle the largest number

• Multiply the numbers together

• Find a number that divides both numbers

• List all factors of the numbers

What is the greatest common factor of 45 and 15 using the sled method?

• 3

• 15

• 9

• 5

In the list method, what is the first factor you should always start with?

• 5

• 3

• 1

• 2

Which number is the greatest common factor of 45 and 15 using the list method?

• 9

• 15

• 5

• 3

Why is it important to know your multiplication facts when using the list method?

• To avoid mistakes in division

• To ensure all factors are listed

• To multiply the numbers correctly

• To quickly identify prime numbers