Product of two primes

You are told that \(n = 110179\) is the product of two primes \(p\) and \(q\) (\(p > q\)). The number of positive integers less than \(n\) that are relatively prime to \(n\) (that is those \(m\) such that \(\gcd(m, n) = 1\)) is 109480. Write the value of \(p - q\).

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