How to Find the Greatest Common Factor Using the Ladder Method

In this video tutorial, Suzie from Math Defined explains the concept of the greatest common factor (GCF) and demonstrates how to find it using the ladder method. The video begins with an introduction to the GCF and a review of factors, followed by several examples using the ladder method to find the GCF of different pairs of numbers. Suzie emphasizes that the GCF is always less than or equal to the numbers in the set, and she provides step-by-step instructions for each example.

What is the greatest common factor (GCF)?

• The smallest number that divides two numbers

• The largest shared factor of a pair or set of numbers

• The sum of two numbers

• The product of two numbers

In the example of finding the GCF of 16 and 40, what is the first shared factor used?

• 2

• 10

• 4

• 8

When using the Latter Method, what do you do after finding a shared factor?

• Subtract the shared factor from the numbers

• Add the shared factor to the numbers

• Multiply the shared factor by the numbers

• Divide the numbers by the shared factor

What is the GCF of 30 and 60 using the Latter Method?

• 30

• 15

• 10

• 60

In the example of 42 and 63, what is the first shared factor identified?

• 9

• 7

• 6

• 3

What is the GCF of 14 and 84?

• 7

• 28

• 14

• 21

Why is it important to ensure the GCF is less than or equal to the numbers in the set?

• To ensure the calculation is correct

• To make the numbers easier to work with

• To verify the GCF is a factor of the numbers

• To simplify the numbers