GCF & LCM Calculator

Find the Greatest Common Factor (GCF) and Least Common Multiple (LCM) of two or more numbers. Shows prime factorization steps.

Enter Numbers

Enter at least 2 integers separated by commas

Results

Greatest Common Factor (GCF)
12
Least Common Multiple (LCM)
144

Prime Factorizations

24=2^3 × 3
36=2^2 × 3^2
48=2^4 × 3

Step-by-Step (Euclidean Algorithm)

GCF(36, 24) using Euclidean algorithm:

36 = 1 × 24 + 12

24 = 2 × 12 + 0

GCF = 12

LCM Formula: LCM(a, b) = |a × b| / GCF(a, b)

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