GCF and LCM of 7 and 12
The greatest common factor and least common multiple of 7 and 12.
GCF of 7 and 12
1
LCM of 7 and 12
84
How it works
Break each number into its prime factors:
- 7 = 7
- 12 = 2² × 3
The GCF (1) 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 7 × 12 ÷ 1 = 84.
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Frequently asked questions
What is the GCF of 7 and 12?+
The greatest common factor (GCF) of 7 and 12 is 1 — the largest number that divides both 7 and 12 with no remainder.
What is the LCM of 7 and 12?+
The least common multiple (LCM) of 7 and 12 is 84 — the smallest number that both 7 and 12 divide into. It equals 7 × 12 ÷ GCF = 84 ÷ 1 = 84.