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Number Theory Level 1

Find the greatest prime factor of

2018 ! 2018!


The answer is 2017.

Munem Shahriar by Munem Shahriar , 18, Bangladesh

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1 solution

Munem Shahriar
Dec 11, 2017

2017 is the greatest prime factor of 2018 ! 2018! .

2018 ! = 1 × 2 × 3 × 4 × … × 2017 × 2018 2018! = 1 \times 2 \times 3 \times 4 \times \ldots \times \boxed{2017} \times 2018

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