Understanding GCF and LCM of 12 and 16

The video tutorial explains how to determine the greatest common factor (GCF) and least common multiple (LCM) of the numbers 12 and 16. It begins with the prime factorization of both numbers, then uses a Venn diagram to visually represent the common and unique factors. The GCF is found by identifying the common prime factors, while the LCM is calculated by combining all prime factors from both numbers. The tutorial provides a step-by-step approach to understanding these concepts using prime factorization and Venn diagrams.

What are the two main concepts discussed in the video?

• Greatest Common Factor and Least Common Multiple

• Addition and Subtraction

• Prime and Composite Numbers

• Multiplication and Division

What is the prime factorization of 12?

• 2 x 2 x 3

• 3 x 3 x 2

• 2 x 3 x 3

• 4 x 3

How can the prime factorization of 16 be expressed using exponents?

• 2^2 x 2

• 2^4

• 2^3

• 4^2

What is the purpose of using a Venn diagram in this context?

• To divide two numbers

• To multiply two numbers

• To identify common prime factors

• To find the sum of two numbers

What is the greatest common factor (GCF) of 12 and 16?

• 6

• 4

• 3

• 2

Which number is missing from the prime factors of 12 in the Venn diagram?

• 5

• 4

• 3

• 2

How many additional factors of 2 are needed to complete the prime factors of 16 in the Venn diagram?

• 4

• 3

• 2

• 1

What is the least common multiple (LCM) of 12 and 16?

• 24

• 36

• 48

• 60

Why is 48 considered the LCM of 12 and 16?

• It is the largest number divisible by both

• It is the smallest number divisible by both

• It is a prime number

• It is a composite number

Which of the following statements is true about the number 48?

• It is only divisible by 16

• It is not divisible by either 12 or 16

• It is only divisible by 12

• It is divisible by both 12 and 16