Prime Factorization Calculator

Factor any positive integer. Plus GCD and LCM of two numbers.

Result

Factorization

Number of prime factors

Distinct primes

Is prime?

What "factor" means

Every positive integer greater than 1 can be written uniquely as a product of prime numbers. That decomposition is its prime factorization. Example: 360 = 2³ × 3² × 5.

GCD and LCM

The greatest common divisor of two integers is the largest integer that divides both. The least common multiple is the smallest integer that both divide into. Useful for reducing fractions and finding common denominators.

Relation: gcd(a, b) × lcm(a, b) = a × b.