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  2. Greatest common divisor - Wikipedia

    en.wikipedia.org/wiki/Greatest_common_divisor

    The greatest common divisor (GCD) of integers a and b, at least one of which is nonzero, is the greatest positive integer d such that d is a divisor of both a and b; that is, there are integers e and f such that a = de and b = df, and d is the largest such integer.

  3. Table of prime factors - Wikipedia

    en.wikipedia.org/wiki/Table_of_prime_factors

    An economical number has been defined as a frugal number, but also as a number that is either frugal or equidigital. gcd( m , n ) ( greatest common divisor of m and n ) is the product of all prime factors which are both in m and n (with the smallest multiplicity for m and n ).

  4. Table of divisors - Wikipedia

    en.wikipedia.org/wiki/Table_of_divisors

    a superior highly composite number has a ratio between its number of divisors and itself raised to some positive ... 8, 10, 16, 20, 32, 40, 64, 80, 160, 320 14 762 ...

  5. List of U.S. states by date of admission to the Union - Wikipedia

    en.wikipedia.org/wiki/List_of_U.S._states_by...

    Article IV, Section 3, Clause 1 of the Constitution grants to Congress the authority to admit new states into the Union. Since the establishment of the United States in 1776, the number of states has expanded from the original 13 to 50. Each new state has been admitted on an equal footing with the existing states. [5]

  6. Euclidean algorithm - Wikipedia

    en.wikipedia.org/wiki/Euclidean_algorithm

    The Euclidean algorithm is based on the principle that the greatest common divisor of two numbers does not change if the larger number is replaced by its difference with the smaller number. For example, 21 is the GCD of 252 and 105 (as 252 = 21 × 12 and 105 = 21 × 5) , and the same number 21 is also the GCD of 105 and 252 − 105 = 147 .

  7. List of states and territories of the United States - Wikipedia

    en.wikipedia.org/wiki/List_of_states_and...

    The United States of America is a federal republic [1] consisting of 50 states, a federal district (Washington, D.C., the capital city of the United States), five major territories, and various minor islands. [2] [3] Both the states and the United States as a whole are each sovereign jurisdictions. [4]

  8. List of largest known primes and probable primes - Wikipedia

    en.wikipedia.org/wiki/List_of_largest_known...

    8 November 2022 4,658,143 59 93839×2 15337656 – 1 28 November 2022 4,617,100 60 2 15317227 +2 7658614 + 1 31 July 2020 4,610,945 61 13×2 15294536 + 1 30 September 2023 4,604,116 62 6×5 6546983 + 1 13 June 2020 4,576,146 63 4788920×3 9577840 – 1 14 February 2024 4,569,798 64 31×2 15145093 – 1 9 February 2025 4,559,129 65 69×2 ...

  9. List of states of matter - Wikipedia

    en.wikipedia.org/wiki/List_of_states_of_matter

    Metallic and insulating states of materials can be considered as different quantum phases of matter connected by a metal-insulator transition. Materials can be classified by the structure of their Fermi surface and zero-temperature dc conductivity as follows: [4] Metal: Fermi liquid: a metal with well-defined quasiparticle states at the Fermi ...