what is the HCF of any 2 prime number ? What can you infer about it?
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Consider two prime numbers :
2 and 5
There is one and only one common factors of 2 and 5 respectively i.e 1
So, HCF(2, 5) = 1
Similarly take any other two set of primes :
7 and 11
In this case also , HCF(7, 11) = 1
Therefore , we can infer that, for any two prime number choosen, there exist only "1" as a Common factor Which also is Highest Common Factor of any two primes.
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