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List the numbers:

216, 360

Divide both numbers by 2, since they are both divisible by 2:

108, 180

Divide both numbers by 2 again, since they are both divisible by 2:

54, 90

Divide both numbers by 2 yet again, since they are both divisible by 2:

27, 45

Divide both numbers by 3, since they are both divisible by 3:

9, 15

Divide both numbers by 3 again, since they are both divisible by 3:

3, 5

Since 3 and 5 do not have any common factors greater than 1, we can now multiply all the numbers we divided by:

2 x 2 x 2 x 3 x 3 = 8 x 9 = 72

GCF(216, 360)=72

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13y ago

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