What is the greatest common factor of 27 and 72?
The greatest common factor (GCF) of 27 and 72 is 9.
The common factors of 27 and 72 are 1, 3, and 9.
Methods:
One 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 27 are 1, 3, 9, and 27.
The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and
72.
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 27 are 3, 3, and 3.
The prime factors of 72 are 2, 2, 2, 3, and 3.
The prime factors in common are 3 and 3, so the greatest common
factor is 3 x 3 = 9.