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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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