GCF and LCM of 15 and 16
The greatest common factor and least common multiple of 15 and 16.
GCF of 15 and 16
1
LCM of 15 and 16
240
How it works
Break each number into its prime factors:
- 15 = 3 × 5
- 16 = 2⁴
The GCF (1) multiplies the primes both share, at the lowest power each appears. The LCM (240) multiplies every prime that appears in either number, at the highest power — which is also 15 × 16 ÷ 1 = 240.
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Frequently asked questions
What is the GCF of 15 and 16?+
The greatest common factor (GCF) of 15 and 16 is 1 — the largest number that divides both 15 and 16 with no remainder.
What is the LCM of 15 and 16?+
The least common multiple (LCM) of 15 and 16 is 240 — the smallest number that both 15 and 16 divide into. It equals 15 × 16 ÷ GCF = 240 ÷ 1 = 240.