Finding the Greatest Common Factor

The video tutorial explains how to find the greatest common factor (GCF) of three numbers using factor trees. It begins by introducing the concept of GCF and the importance of factoring. The tutorial then demonstrates how to use a factor tree to break down numbers into their prime factors. Finally, it shows how to identify the GCF by comparing the prime factors of the numbers 12, 15, and 75, concluding that the GCF is 3.

What is the greatest common factor (GCF) of a set of numbers?

• A number larger than the largest number in the set

• The largest number in the set

• The sum of all numbers in the set

• A number smaller than the largest number in the set

What tool is suggested to simplify finding the GCF?

• A number line

• A factor tree

• A multiplication table

• A calculator

How do you use a chart to find the GCF?

• By writing the prime numbers in the chart

• By adding all the numbers together

• By listing all factors of each number

• By writing the numbers in ascending order

Which of the following is a step in finding the GCF using a factor tree?

• Adding all the numbers together

• Dividing the largest number by the smallest

• Multiplying all the numbers

• Writing down the prime factors

What is the greatest common factor of 12, 15, and 75?

• 12

• 15

• 3

• 5