GCF and LCM of 15 and 17
The greatest common factor and least common multiple of 15 and 17.
GCF of 15 and 17
1
LCM of 15 and 17
255
How it works
Break each number into its prime factors:
- 15 = 3 × 5
- 17 = 17
The GCF (1) multiplies the primes both share, at the lowest power each appears. The LCM (255) multiplies every prime that appears in either number, at the highest power — which is also 15 × 17 ÷ 1 = 255.
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Frequently asked questions
What is the GCF of 15 and 17?+
The greatest common factor (GCF) of 15 and 17 is 1 — the largest number that divides both 15 and 17 with no remainder.
What is the LCM of 15 and 17?+
The least common multiple (LCM) of 15 and 17 is 255 — the smallest number that both 15 and 17 divide into. It equals 15 × 17 ÷ GCF = 255 ÷ 1 = 255.