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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.)

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 expone class=

Verified Answer :

bcalle

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

The factor is defined as the number or quantity by which another number is exactly divisible. The HCF or highest common factor is defined as the greatest common number of two or more integers.

The highest common factor or HCF for 270 and 360 is 90.

The given integers are 270 and 360.

The multiples of 270 are:

1, 2, 3, 4, 5, 6, 9, 10, 15, 18, 27, 45, 54, 90, 135, 270

The multiples 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 highest common factor is: 90

To know more about the highest common factor, refer to the following link:

https://brainly.com/question/17240111