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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