I have almost no idea how to factor numbers this big.

Question

$14425638854646469646839767613420413647898432138735230192512819$ is the product of two prime numbers. Each factor is an answer.

I have to give both factors as answers. How would I get to them and which numbers are them?

My knowledge of factors is extremely limited.

Answer 1

It's $3658265762777653112540162274181 \cdot 3943299855747317419837769926999$ :)

edit: To find the factorization, I used the function ifactor in Maple, which itself relies on the quadratic sieve method, as explained in its documentation.