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# greatest common divisors of 23^31 , 23^17

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230
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greatest common divisors of 23^31 , 23^17

Guest Jan 19, 2015

#3
+18827
+5

greatest common divisors (GCD) of 23^31 , 23^17

$$\small{\begin{array}{l|rclclclcl}\text{Number 1:} & 23^{31} &=& 23^{31} &&&&&& \\ \text{Number 2:} & 23^{17} &=& 23^{{17}} && && && \\ \hline \text{The lowest Exponent}\\ \text{ of each prime number} &\text{GCD}&=& 23^{{17}}&&&&&& \end{array}}}$$

heureka  Jan 19, 2015
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#1
0

it is 1 because the numbers are prime

Guest Jan 19, 2015
#2
+26397
+5

The gcd is 23^17 because it goes into itself once and into 23^31 23^14 times.

.

Alan  Jan 19, 2015
#3
+18827
+5

greatest common divisors (GCD) of 23^31 , 23^17

$$\small{\begin{array}{l|rclclclcl}\text{Number 1:} & 23^{31} &=& 23^{31} &&&&&& \\ \text{Number 2:} & 23^{17} &=& 23^{{17}} && && && \\ \hline \text{The lowest Exponent}\\ \text{ of each prime number} &\text{GCD}&=& 23^{{17}}&&&&&& \end{array}}}$$

heureka  Jan 19, 2015

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