GCF and LCM of 17 and 18
The greatest common factor and least common multiple of 17 and 18.
GCF of 17 and 18
1
LCM of 17 and 18
306
How it works
Break each number into its prime factors:
- 17 = 17
- 18 = 2 × 3²
The GCF (1) multiplies the primes both share, at the lowest power each appears. The LCM (306) multiplies every prime that appears in either number, at the highest power — which is also 17 × 18 ÷ 1 = 306.
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Frequently asked questions
What is the GCF of 17 and 18?+
The greatest common factor (GCF) of 17 and 18 is 1 — the largest number that divides both 17 and 18 with no remainder.
What is the LCM of 17 and 18?+
The least common multiple (LCM) of 17 and 18 is 306 — the smallest number that both 17 and 18 divide into. It equals 17 × 18 ÷ GCF = 306 ÷ 1 = 306.