GCF and LCM of 6 and 9
The greatest common factor and least common multiple of 6 and 9.
GCF of 6 and 9
3
LCM of 6 and 9
18
How it works
Break each number into its prime factors:
- 6 = 2 × 3
- 9 = 3²
The GCF (3) multiplies the primes both share, at the lowest power each appears. The LCM (18) multiplies every prime that appears in either number, at the highest power — which is also 6 × 9 ÷ 3 = 18.
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Frequently asked questions
What is the GCF of 6 and 9?+
The greatest common factor (GCF) of 6 and 9 is 3 — the largest number that divides both 6 and 9 with no remainder.
What is the LCM of 6 and 9?+
The least common multiple (LCM) of 6 and 9 is 18 — the smallest number that both 6 and 9 divide into. It equals 6 × 9 ÷ GCF = 54 ÷ 3 = 18.