GCF and LCM of 17 and 19
The greatest common factor and least common multiple of 17 and 19.
GCF of 17 and 19
1
LCM of 17 and 19
323
How it works
Break each number into its prime factors:
- 17 = 17
- 19 = 19
The GCF (1) multiplies the primes both share, at the lowest power each appears. The LCM (323) multiplies every prime that appears in either number, at the highest power — which is also 17 × 19 ÷ 1 = 323.
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Frequently asked questions
What is the GCF of 17 and 19?+
The greatest common factor (GCF) of 17 and 19 is 1 — the largest number that divides both 17 and 19 with no remainder.
What is the LCM of 17 and 19?+
The least common multiple (LCM) of 17 and 19 is 323 — the smallest number that both 17 and 19 divide into. It equals 17 × 19 ÷ GCF = 323 ÷ 1 = 323.