Respuesta :
Answer:
27
Step-by-step explanation:
Since 3^6 is only divisible by 3 and powers of 3(including 1) the gcd of 3^6 and 6^3 mus be a power of 3 hence we need to find the highest powers of 3 that divide 6^3 and that divide 3^6, which are respectively 3^3 and 3^6, hence, taking the smaller one (since we want it to divide both), our answer is 3^3=27.
Answer:
Step-by-step explanation:
Greatest common divisor is the largest positive integer that divides each integer in the given problem
6³ = (2* 3)³ = 2³ * 3³
3⁶ = 3³ * 3³
Greatest common divisor = 3³ = 3* 3* 3 = 27