GCF and LCM of 3 and 6
The greatest common factor and least common multiple of 3 and 6.
GCF of 3 and 6
3
LCM of 3 and 6
6
How it works
Break each number into its prime factors:
- 3 = 3
- 6 = 2 × 3
The GCF (3) multiplies the primes both share, at the lowest power each appears. The LCM (6) multiplies every prime that appears in either number, at the highest power — which is also 3 × 6 ÷ 3 = 6.
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Frequently asked questions
What is the GCF of 3 and 6?+
The greatest common factor (GCF) of 3 and 6 is 3 — the largest number that divides both 3 and 6 with no remainder.
What is the LCM of 3 and 6?+
The least common multiple (LCM) of 3 and 6 is 6 — the smallest number that both 3 and 6 divide into. It equals 3 × 6 ÷ GCF = 18 ÷ 3 = 6.