Question

Any 2 consecutive integers are relatively prime. proof

Answer 1

2 and 3 are consecutive prime integers

Answer 2

Hi friend!

$<marquee direction="right" behavior="alternate"><big><big><b>Answer:</b></big></big></marquee>$

$These numbers are called <b>co-prime numbers</b>. The main feature of co-prime is that they have only 1 as their common factor. That is, their HCF would be 1.$

And any 2 consecutive integers are always co-prime because there is a least chance (infact, no chance) for them to have a common factor greater than 1.

Let's just take a look at the following pairs of numbers:
17,21 (Yes! They are co-prime. Reason: given below)
4,5
75,76

If we look closely, we see that they have only one common factor and that's 1.
The reason 17 and 21 are co-primes is the definition of co-prime numbers.

$<b>Co-prime numbers</b> <i>math.</i> Any two integers that have only 1 as their common factor$

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