Question

gcf of: 54 and 81

Answer 1

Answer: 27

One way to determine the greatest common factor is to find all the factors of the numbers and compare them.
The factors of 54 are 1, 2, 3, 6, 9, 18, 27, and 54.
The factors of 81 are 1, 3, 9, 27, and 81.
The common factors are 1, 3, 9, and 27. Therefore, the greatest common factor is 27.

The greatest common factor can also be calculated by identifying the common prime factors and multiplying them together.
The prime factors of 54 are 2, 3, 3, and 3.
The prime factors of 81 are 3, 3, 3, and 3.
The prime factors in common are 3, 3, and 3, so the greatest common factor is 3 x 3 x 3 = 27.

Factors of 54: 1 2 3 6 9 18 27 54

Factors of 81: 1 3 9 27 81

The GCF of 54 and 81 is 27

Answer 2

54 = 9 * 6 = 9 * 3 * 2
81 = 9 * 9 = 9 * 3 * 3
=> GCF = 9 * 3 = 27