Prime Factorization and GCF Concepts

The video tutorial explains how to find the greatest common factor (GCF) of two numbers, 54 and 36, by breaking them down into their prime factors. It demonstrates the process of prime factorization for each number and then identifies the common factors. Finally, it multiplies these common factors to find the GCF, which is 18.

What is the first step in finding the greatest common factor of two numbers?

• Multiply the numbers

• Break the numbers into their prime factors

• Add the numbers together

• Divide the numbers by 2

Which of the following is the correct prime factorization of 54?

• 2 x 2 x 2 x 3

• 2 x 3 x 3 x 3

• 2 x 2 x 3 x 3

• 3 x 3 x 3 x 3

How can 36 be written in terms of its prime factors?

• 3 x 3 x 3 x 3

• 2 x 2 x 3 x 3

• 2 x 3 x 3 x 3

• 2 x 2 x 2 x 3

What is the prime factorization of 36?

• 2 x 3 x 3 x 3

• 2 x 2 x 3 x 3

• 2 x 2 x 2 x 3

• 3 x 3 x 3 x 3

Which prime factors are common to both 54 and 36?

• One 2 and two 3s

• Two 2s and one 3

• One 2 and one 3

• Two 2s and two 3s

What is the greatest common factor of 54 and 36?

• 24

• 18

• 36

• 12