What is the greatest common factor of 14 and 16?

Answer 1

The GCF of 14 and 16 is 2.

One way to approach this is to look at the difference between 14 and 16, which is 2. The greatest common factor of two numbers cannot be larger than the difference between the two numbers and must be a factor of the difference. Since both 14 and 16 are divisible by 2, the greatest common factor is 2.

Another way to determine the greatest common factor is to find all the factors of the numbers and compare them.

The factors of 14 are 1, 2, 7, and 14.

The factors of 16 are 1, 2, 4, 8, and 16.

The common factors are 1 and 2. Therefore, the greatest common factor is 2.

The greatest common factor can also be calculated by identifying the common prime factors and multiplying them together.

The prime factors of 14 are 2 and 7.

The prime factors of 16 are 2, 2, 2, and 2.

The prime factors in common are a single 2, so the greatest common factor is 2.

Answer 2

A GCF is a concept that is relevant only in integer terms. It has no meaning in fractions.

Answer 3

The GCF is 2.

Answer 4

2

Answer 5

2

Answer 6

2