GCF and LCM of 9 and 12
The greatest common factor and least common multiple of 9 and 12.
GCF of 9 and 12
3
LCM of 9 and 12
36
How it works
Break each number into its prime factors:
- 9 = 3²
- 12 = 2² × 3
The GCF (3) multiplies the primes both share, at the lowest power each appears. The LCM (36) multiplies every prime that appears in either number, at the highest power — which is also 9 × 12 ÷ 3 = 36.
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Frequently asked questions
What is the GCF of 9 and 12?+
The greatest common factor (GCF) of 9 and 12 is 3 — the largest number that divides both 9 and 12 with no remainder.
What is the LCM of 9 and 12?+
The least common multiple (LCM) of 9 and 12 is 36 — the smallest number that both 9 and 12 divide into. It equals 9 × 12 ÷ GCF = 108 ÷ 3 = 36.