What is the greatest common factor of 18 and 27?

Answer 1

The greatest common factor of 18 and 27 is 9.

The common factors of 18 and 27 are 1, 3, and 9.

Methods:

One way is to make an educated guess. If you recognize that both numbers are divisible by 9, check whether the corresponding factors of the factor pairs have common factors. Note: When the sum of the digits of a number add up to 9 or a multiple of 9, that number is divisible by 9.

9 x 3 = 27

Since the corresponding factors of the factor pairs, 2 and 3, do not have any common factors, the greatest common factor is 9.

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

The factors of 18 are 1, 2, 3, 6, 9, and 18.

The factors of 27 are 1, 3, 9, and 27.

The common factors are 1, 3, and 9. Therefore, the greatest common factor is 9.

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

The prime factors of 18 are 2, 3, and 3.

The prime factors of 27 are 3, 3, and 3.

The prime factors they have in common are 3 and 3, so the greatest common factor is 3 x 3 = 9.

Answer 2

The greatest common factor of 18 and 27 is 9.

9 x 2 = 18
9 x 3 = 27

Answer 3

Factors of 18: 1, 2, 3, 6, 9, 18 .

Factors of 27: 1, 3, 9, 27 .

Common factors of 18 and 27: 1, 3, 9 .

Greatest common factor: 9 .

Answer 4

The word "highest" implies that there can be only one such number.

HCF(18, 27) = 9

Answer 5

The prime factors are:

18 = 2 * 3 * 3

27 = 3 * 3 * 3

So the greatest common factor is 3 * 3, or 9.

Answer 6

The evil woman is 9.

Answer 7

GCF(27, 18) = 9

Answer 8

HCF(18, 27) = 9.

Answer 9

9

Answer 10

9.