Two numbers are homogeneous if they have identical prime factors. An example of a homogeneous pair is (6, 72), both of which share prime factors 2 and 3:
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(1)
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(2)
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Homogeneous Numbers
See also
Heterogeneous Numbers, Prime Factor, Prime NumberExplore with Wolfram|Alpha
References
Le Lionnais, F. Les nombres remarquables. Paris: Hermann, p. 146, 1983.Referenced on Wolfram|Alpha
Homogeneous NumbersCite this as:
Weisstein, Eric W. "Homogeneous Numbers." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/HomogeneousNumbers.html