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MATH / What is the greatest common factor of 20! and 200, 000? (Reminder: If n is a positive integer, then n! stands for the product 1⋅2⋅3⋅⋯⋅(n−1)⋅n.)

Problem

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problem

What is the greatest common factor of 20!20 ! and 200,000200,\!000? (Reminder: If nn is a positive integer, then n!n! stands for the product 1⋅2⋅3⋅⋯⋅(n−1)⋅n1\cdot 2\cdot 3\cdot \cdots \cdot (n-1)\cdot n.)
Plain-text mathematical notation (without MathML)
What is the greatest common factor of 20! and 200, 000?  (Reminder: If n is a positive integer, then n! stands for the product 1⋅2⋅3⋅⋯⋅(n−1)⋅n.)
Original LaTeX notation
What is the greatest common factor of $20 !$ and $200,\!000$?  (Reminder: If $n$ is a positive integer, then $n!$ stands for the product $1\cdot 2\cdot 3\cdot \cdots \cdot (n-1)\cdot n$.)

level

Level 4

type

Number Theory

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Source and history

task_id
51948059-95d2-5fe1-a6d9-2b46117c4dc3
task_key
number~5ftheory--test--51948059-95d2-5fe1-a6d9-2b46117c4dc3
task_revision_id
1
config / split
number_theory / test

Official source

initial import