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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

    m and n are coprime (also called relatively prime) if gcd(m, n) = 1 (meaning they have no common prime factor). lcm(m, n) (least common multiple of m and n) is the product of all prime factors of m or n (with the largest multiplicity for m or n). gcd(m, n) × lcm(m, n) = m × n. Finding the prime factors is often harder than computing gcd and ...

  4. Euclidean algorithm - Wikipedia

    en.wikipedia.org/wiki/Euclidean_algorithm

    The greatest common divisor g of a and b is the unique (positive) common divisor of a and b that is divisible by any other common divisor c. [6] The greatest common divisor can be visualized as follows. [7] Consider a rectangular area a by b, and any common divisor c that divides both a and b exactly.

  5. Largest known prime number - Wikipedia

    en.wikipedia.org/wiki/Largest_known_prime_number

    The largest known prime number is 2 136,279,841 − 1, a number which has 41,024,320 digits when written in the decimal system. It was found on October 12, 2024, on a cloud-based virtual machine volunteered by Luke Durant to the Great Internet Mersenne Prime Search (GIMPS).

  6. Gauss's lemma (polynomials) - Wikipedia

    en.wikipedia.org/wiki/Gauss's_lemma_(polynomials)

    Gauss's lemma underlies all the theory of factorization and greatest common divisors of such polynomials. Gauss's lemma asserts that the product of two primitive polynomials is primitive. (A polynomial with integer coefficients is primitive if it has 1 as a greatest common divisor of its coefficients. [note 2])

  7. Integer factorization - Wikipedia

    en.wikipedia.org/wiki/Integer_factorization

    Continuing this process until every factor is prime is called prime factorization; the result is always unique up to the order of the factors by the prime factorization theorem. To factorize a small integer n using mental or pen-and-paper arithmetic, the simplest method is trial division : checking if the number is divisible by prime numbers 2 ...

  8. Here’s Exactly How Much Protein You Need To Build 1 ... - AOL

    www.aol.com/exactly-much-protein-build-1...

    Wondering how much protein you need to build muscle? Learn the science behind muscle growth, daily protein goals, and expert-backed tips for optimal results.

  9. Coprime integers - Wikipedia

    en.wikipedia.org/wiki/Coprime_integers

    This is equivalent to their greatest common divisor (GCD) being 1. [2] One says also a is prime to b or a is coprime with b. The numbers 8 and 9 are coprime, despite the fact that neither—considered individually—is a prime number, since 1 is their only common divisor. On the other hand, 6 and 9 are not coprime, because they are both ...