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

9x40= 360

9x30= 270 so the common factor is 9 I have no idea about the exponent stuff

Answer 2

The answer is 90.

Explanation:

Find the greatest common factor of 270 and 360.

270 = 3 x 3 x 3 x 2 x 5 or in exponent form :
`3^(3)*2*5`

360 = 3 x 3 x 2 x 2 x 2 x 5 or in exponent form :
`3^(2)*2^(3)*5`

As we can see that the greatest common factor is = 3 x 3 x 2 x 5 = 90 or in exponent form this can be written as :
`3^(2)*2*5=90`

Therefore, the greatest common factor is 90.