GCF and LCM of 14 and 17
The greatest common factor and least common multiple of 14 and 17.
GCF of 14 and 17
1
LCM of 14 and 17
238
How it works
Break each number into its prime factors:
- 14 = 2 × 7
- 17 = 17
The GCF (1) multiplies the primes both share, at the lowest power each appears. The LCM (238) multiplies every prime that appears in either number, at the highest power — which is also 14 × 17 ÷ 1 = 238.
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Frequently asked questions
What is the GCF of 14 and 17?+
The greatest common factor (GCF) of 14 and 17 is 1 — the largest number that divides both 14 and 17 with no remainder.
What is the LCM of 14 and 17?+
The least common multiple (LCM) of 14 and 17 is 238 — the smallest number that both 14 and 17 divide into. It equals 14 × 17 ÷ GCF = 238 ÷ 1 = 238.