Question

Show that 5309 and 3072 are prime to each other.

Answer 1

Dear student
We have,
5309
1×53093072
1×210×3So, HCF (5309, 3072)
1So, 5309 and 3072 are prime to each other.
Regards

Answer 2

5309 and 3072 is prime numbers which is related to each other.

Solution:  

The whole numbers for which the factor is 1 and itself are known to be prime numbers.

First need to calculate the factors of given numbers 5309 and 3072.

The factors of 5309 is 1 and 5309.  

The factors of 3072 is 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 512, 768, 1024, 1536, 3072.

The most common factor in this case is 1 which is common in both and prime.