Find the greatest common factor and least common multiple for two or more positive integers.
Last updated: June 2026 | By Patchworkr Team
The greatest common factor is the largest positive integer that divides all numbers evenly.
The least common multiple is the smallest positive integer that every number divides.
Example: 48 and 60 have GCF 12 and LCM 240.
Find GCF and LCM of 48 and 60.
1. Factor 48 = 2^4 x 3.
2. Factor 60 = 2^2 x 3 x 5.
3. GCF = 2^2 x 3 = 12.
4. LCM = 2^4 x 3 x 5 = 240.
Final answer: GCF 12, LCM 240
Yes. The calculator can analyze any length list of positive integers.
GCF and LCM here are defined for positive integers only, so invalid values are rejected explicitly.
The simple GCF x LCM = product relationship holds for exactly two numbers.
You can use the example and the computed values as a check against manual factorization.
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