Understanding the Greatest Common Factor

The video tutorial explains how to find the greatest common factor (GCF) of two numbers, specifically 6 and 8. It begins by defining the GCF and then demonstrates the process using factor trees to break down the numbers into their prime factors. A prime factorization chart is created to organize these factors, and a rule is applied to identify the GCF by selecting common factors. The tutorial concludes by confirming that the GCF of 6 and 8 is 2.

What is the greatest common factor of two numbers?

• The sum of the two numbers

• The largest number that divides both numbers

• The difference between the two numbers

• The smallest number that divides both numbers

Which of the following is a prime factor of 6?

• 6

• 2

• 5

• 4

What is the prime factorization of 8?

• 3 * 3

• 2 * 3

• 2 * 2 * 2

• 2 * 4

What is the purpose of creating a prime factorization chart?

• To identify the prime numbers

• To find the sum of the numbers

• To multiply the numbers

• To organize prime factors for comparison

In the prime factorization chart, what should you do if you have a vertical pair of factors?

• Ignore the pair

• Use only one factor

• Multiply the pair

• Use both factors

What is the greatest common factor of 6 and 8?

• 2

• 1

• 4

• 3

Which of the following numbers is not a prime factor of 8?

• None of the above

• 4

• 8

• 2