What is the greatest common factor of 45 and 54?

To find the greatest common factor (GCF) of 45 and 54, we need to determine the largest number that can divide both 45 and 54 without leaving a remainder.

The factors of 45 are 1, 3, 5, 9, 15, and 45.
The factors of 54 are 1, 2, 3, 6, 9, 18, 27, and 54.

The common factors of 45 and 54 are 1, 3, and 9. The largest common factor is 9.

Therefore, the greatest common factor of 45 and 54 is 9.