A factor is a number that divides a given number into exact parts. Therefore factors of:

27 are: 1,3,9, 27

54 are: 1,2,3,6,9,18,27,54

81 are: 1,3,9,27,81

Common factors for 27,54 and 81 are: 1,3,9,27

Hence the greatest common factor of 27,54 and 81 = 27 (Required Answer)

27, 54, and 81?

27 = 3* 3 * 3

54 = 2 * 3 * 3 * 3

81= 3* 3* 3 * 3

The common prime factors of 27,54 and 81 are 3* 3 * 3

Therefore the greatest common factor of 27,54 and 81 = 3* 3 * 3

=27

Factors of 27 = {1,3,9, 27}

Factors of 54 = {1,2,3,6,9,18,27,54}

Factors of 81 = {1,3,9,27,81}

Common factors for 27,54 and 81 ={1,3,9,27}

Hence the greatest common factor of 27,54 and 81 = 27

27, 54, and 81

3 27 54 81

3 9 18 27

3 3 6 9

1 2 3

since 3^3 is the number that divides both 27,54 and 81 without leaving a remainder.

Greatest common factor = 3*3*3= 27

Factors of 27 = 3 *3 * 3

factors of 54 = 2 * 3* 3 * 3

factors of 81 = 3 *3 * 3 * 3

from the above, the common factors in the three numbers 27,54,81 are

3 * 3 * 3 = 27

therefore gcf =27

Greatest common factor is 27

As 27 goes into 27 (once) goes into 54 (twice) and goes into 81(three times) 27 is the largest number divisible by all three