## Common factors of polynomials

Input interpretation factor | -1 + x^4 Irreducible factorization (x – 1) (x – i) (x + i) (x + 1) Factorizations over finite fields GF(2) | (x + 1)^4

Category: common factors

Input interpretation factor | -1 + x^4 Irreducible factorization (x – 1) (x – i) (x + i) (x + 1) Factorizations over finite fields GF(2) | (x + 1)^4

Input interpretation common divisors | 15, 45, and 90 Result 1 | 3 | 5 | 15 Greatest common divisor gcd(15, 45, 90) = 15

Input interpretation factor | 20 Prime factorization 2^2×5 (3 prime factors, 2 distinct) Divisors 1 | 2 | 4 | 5 | 10 | 20 (6 divisors)

Input interpretation factor | 24 Prime factorization 2^3×3 (4 prime factors, 2 distinct) Divisors 1 | 2 | 3 | 4 | 6 | 8 | 12 | 24 (8 divisors)

Input interpretation common divisors | 28 and 42 Result 1 | 2 | 7 | 14 Greatest common divisor gcd(28, 42) = 14

Input interpretation factor | 36 Prime factorization 2^2×3^2 (4 prime factors, 2 distinct) Divisors 1 | 2 | 3 | 4 | 6 | 9 | 12 | 18 | 36 (9 divisors)

Input interpretation factor | 45 Prime factorization 3^2×5 (3 prime factors, 2 distinct) Divisors 1 | 3 | 5 | 9 | 15 | 45 (6 divisors)

Input interpretation factor | 50 Prime factorization 2×5^2 (3 prime factors, 2 distinct) Divisors 1 | 2 | 5 | 10 | 25 | 50 (6 divisors)