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Show that the number 243 and 512 are co-primes
Given: The numbers given are 243 and 512
To find: If the two numbers are co-prime
Solution:
Prime factorize the number 243 and 512
243 = 3$\times$3$\times$3$\times$3$\times$3$\times$1
512= 2$\times$2$\times$2$\times$2$\times$2$\times$2$\times$2$\times$2$\times$2$\times$1
Common factors of 243 and 512 =1
Therefore, Upon primary factorization, 243 and 512 have no common factors other than 1, therefore they are co primes
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