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.)

270 = 3x3x3x2x5

360 = 2x2x2x3x3x5

GCF = 2x3x3x5 = 90

To find the greatest common factor (GCF) of two numbers, you can use several methods. One common method is to list all the factors of both numbers and find the largest number that appears in both lists.

Let's find the factors of 270:
Factors of 270 = 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Now let's find the factors of 360:
Factors of 360 = 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

To find the GCF, we look for the largest number that appears in both lists. From the factors above, we can see that the largest common factor is 90.

Answer in numerical form: 90
Answer in exponential form: 2^1 * 3^2 * 5^1