What is a vague prior for λ in Gamma(n,λ), where n is a constant not equaling 1?

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I know that for λ in Poi(λ) or Exp(λ) a vague prior for λ is π(λ) ∼ Gamma (α, β) where α and β are small, I was wondering if it was the same for λ in Gamma(n,λ) since exponential distribution is a special case of gamma distribution.