Question

Find the greatest common factor of 270 and 360. (Give the answer in the numerical form in the top box and in exponential form by filling in the boxes for exponents.)

Answer 1

The greatest common factor (GCF) of 270 and 360 is 90.

Step-by-step explanation:

The greatest common factor (GCF) of 270 and 360 is 90.

To find the GCF, we can list the factors of both numbers and find the largest common factor. The factors of 270 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, and 270. The factors of 360 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, and 360. The largest number that appears in both lists is 90, so that is the GCF.

Answer 2

The greatest common factor of 270 and 360 is 90.
To find this write the factors of each and find the largest one.
270: 1, 270, 2, 135, 3, 90, 5, 54, 6, 45, 9, 30, 10, 27, 15, 18
360: 1, 360, 2, 180, 3, 120, 4, 90, 5, 72, 6, 60, 8, 45, 9, 40, 10, 36, 12, 30, 15, 24, 18, 20