GCF and LCM of 2 and 8
The greatest common factor and least common multiple of 2 and 8.
GCF of 2 and 8
2
LCM of 2 and 8
8
How it works
Break each number into its prime factors:
- 2 = 2
- 8 = 2³
The GCF (2) multiplies the primes both share, at the lowest power each appears. The LCM (8) multiplies every prime that appears in either number, at the highest power — which is also 2 × 8 ÷ 2 = 8.
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Frequently asked questions
What is the GCF of 2 and 8?+
The greatest common factor (GCF) of 2 and 8 is 2 — the largest number that divides both 2 and 8 with no remainder.
What is the LCM of 2 and 8?+
The least common multiple (LCM) of 2 and 8 is 8 — the smallest number that both 2 and 8 divide into. It equals 2 × 8 ÷ GCF = 16 ÷ 2 = 8.