GCF and LCM of 12 and 30
The greatest common factor and least common multiple of 12 and 30.
GCF of 12 and 30
6
LCM of 12 and 30
60
How it works
Break each number into its prime factors:
- 12 = 2² × 3
- 30 = 2 × 3 × 5
The GCF (6) multiplies the primes both share, at the lowest power each appears. The LCM (60) multiplies every prime that appears in either number, at the highest power — which is also 12 × 30 ÷ 6 = 60.
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Frequently asked questions
What is the GCF of 12 and 30?+
The greatest common factor (GCF) of 12 and 30 is 6 — the largest number that divides both 12 and 30 with no remainder.
What is the LCM of 12 and 30?+
The least common multiple (LCM) of 12 and 30 is 60 — the smallest number that both 12 and 30 divide into. It equals 12 × 30 ÷ GCF = 360 ÷ 6 = 60.