GCF and LCM of 8 and 16
The greatest common factor and least common multiple of 8 and 16.
GCF of 8 and 16
8
LCM of 8 and 16
16
How it works
Break each number into its prime factors:
- 8 = 2³
- 16 = 2⁴
The GCF (8) multiplies the primes both share, at the lowest power each appears. The LCM (16) multiplies every prime that appears in either number, at the highest power — which is also 8 × 16 ÷ 8 = 16.
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Frequently asked questions
What is the GCF of 8 and 16?+
The greatest common factor (GCF) of 8 and 16 is 8 — the largest number that divides both 8 and 16 with no remainder.
What is the LCM of 8 and 16?+
The least common multiple (LCM) of 8 and 16 is 16 — the smallest number that both 8 and 16 divide into. It equals 8 × 16 ÷ GCF = 128 ÷ 8 = 16.