GCF and LCM of 16 and 18
The greatest common factor and least common multiple of 16 and 18.
GCF of 16 and 18
2
LCM of 16 and 18
144
How it works
Break each number into its prime factors:
- 16 = 2⁴
- 18 = 2 × 3²
The GCF (2) multiplies the primes both share, at the lowest power each appears. The LCM (144) multiplies every prime that appears in either number, at the highest power — which is also 16 × 18 ÷ 2 = 144.
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Frequently asked questions
What is the GCF of 16 and 18?+
The greatest common factor (GCF) of 16 and 18 is 2 — the largest number that divides both 16 and 18 with no remainder.
What is the LCM of 16 and 18?+
The least common multiple (LCM) of 16 and 18 is 144 — the smallest number that both 16 and 18 divide into. It equals 16 × 18 ÷ GCF = 288 ÷ 2 = 144.