GCF and LCM of 12 and 14
The greatest common factor and least common multiple of 12 and 14.
GCF of 12 and 14
2
LCM of 12 and 14
84
How it works
Break each number into its prime factors:
- 12 = 2² × 3
- 14 = 2 × 7
The GCF (2) multiplies the primes both share, at the lowest power each appears. The LCM (84) multiplies every prime that appears in either number, at the highest power — which is also 12 × 14 ÷ 2 = 84.
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Frequently asked questions
What is the GCF of 12 and 14?+
The greatest common factor (GCF) of 12 and 14 is 2 — the largest number that divides both 12 and 14 with no remainder.
What is the LCM of 12 and 14?+
The least common multiple (LCM) of 12 and 14 is 84 — the smallest number that both 12 and 14 divide into. It equals 12 × 14 ÷ GCF = 168 ÷ 2 = 84.