Greatest Common Divisor
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Question

Find the Greatest Common Divisor (GCD) of the numbers 216 and 30.

Answer

$216=({2}^{3})({3}^{3})$

$30=(2)(3)(5)$

The GCD of 216 and 30 is the product of the least powers of each prime factor in both.

Thus the GCD of 216 and 30

$=(2)(3)$

$=6$