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What is the most efficient algorithm for factorisation when an approximate value of one factor is known

GCD of $n^a\,\prod\limits_{i=1}^k\,\left(n^{b_i}-n\right)$ for $n\in\mathbb{Z}$

List of prime numbers in imaginary quadratic fields with UFD

How to factor numbers that are the product of two primes

Product of exponents of prime factorization

Show that $(n!)^{(n-1)!}$ divides $(n!)!$ [duplicate]

Find all the prime factors of $1000027$

How many positive divisors $X = 2^2 \cdot 3^3 \cdot 4^4 \cdot 5^5 \cdot6^6 \cdot 7^7$ are divisible by $35$?

does a number that contains all primes less than it exist?

Why is every prime number ($5$ and higher) divisible by $24$ (into a whole integer) when you square it and subtract $1$? [duplicate]

Prime factors of $\sum_{k=1}^{30}k^{k^k}$

What is wrong with this effort to generalize Bertrand's Postulate using the Inclusion-Exclusion Principle

Factorization game, can we find winning strategy?

Interesting thing about sum of squares of prime factors of $27$ and $16$.

Find the prime-power decomposition of 999999999999

Questions about Divisibility of $2^n$ by $3$

New posts in prime-factorization

Can one factor matrices?

Structures in the plot of the "squareness" of numbers

Total number of divisors of factorial of a number

When is Euler's totient function for two different integers equal?

What is the most efficient algorithm for factorisation when an approximate value of one factor is known

GCD of $n^a\,\prod\limits_{i=1}^k\,\left(n^{b_i}-n\right)$ for $n\in\mathbb{Z}$

List of prime numbers in imaginary quadratic fields with UFD

How to factor numbers that are the product of two primes

Product of exponents of prime factorization

Show that $(n!)^{(n-1)!}$ divides $(n!)!$ [duplicate]

Find all the prime factors of $1000027$

How many positive divisors $X = 2^2 \cdot 3^3 \cdot 4^4 \cdot 5^5 \cdot6^6 \cdot 7^7$ are divisible by $35$?

does a number that contains all primes less than it exist?

Why is every prime number ($5$ and higher) divisible by $24$ (into a whole integer) when you square it and subtract $1$? [duplicate]

Prime factors of $\sum_{k=1}^{30}k^{k^k}$

What is wrong with this effort to generalize Bertrand's Postulate using the Inclusion-Exclusion Principle

Factorization game, can we find winning strategy?

Interesting thing about sum of squares of prime factors of $27$ and $16$.

Find the prime-power decomposition of 999999999999

Questions about Divisibility of $2^n$ by $3$