What is the greatest common factor of 12 and 16?

What is the greatest common factor of 12 and 16?

• A. 2
• B. 4
• C. 6
• D. 8

Answer: (B)

To determine the greatest common factor (GCF) of 12 and 16, we begin by finding the factors of each number. The factors of 12 are: 1, 2, 3, 4, 6, 12 The factors of 16 are: 1, 2, 4, 8, 16 Next, we look for the factors that are common to both lists: - The factors that 12 and 16 share are 1, 2, and 4. Among these common factors, 4 is the largest. Hence, the greatest common factor of 12 and 16 is indeed 4. This makes 4 the correct answer, as it is the highest number that evenly divides both of the original numbers without leaving a remainder.

To determine the greatest common factor (GCF) of 12 and 16, we begin by finding the factors of each number.

The factors of 12 are:

1, 2, 3, 4, 6, 12

The factors of 16 are:

1, 2, 4, 8, 16

Next, we look for the factors that are common to both lists:

• The factors that 12 and 16 share are 1, 2, and 4.

Among these common factors, 4 is the largest. Hence, the greatest common factor of 12 and 16 is indeed 4. This makes 4 the correct answer, as it is the highest number that evenly divides both of the original numbers without leaving a remainder.