GCF and LCM of 2 and 3

The greatest common factor and least common multiple of 2 and 3.

GCF of 2 and 3
1
LCM of 2 and 3
6
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How it works

Break each number into its prime factors:

  • 2 = 2
  • 3 = 3

The GCF (1) multiplies the primes both share, at the lowest power each appears. The LCM (6) multiplies every prime that appears in either number, at the highest power — which is also 2 × 3 ÷ 1 = 6.

Try other numbers

Need a different pair? The LCM & GCF calculator computes the GCF and LCM for any two numbers.

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Frequently asked questions

What is the GCF of 2 and 3?+

The greatest common factor (GCF) of 2 and 3 is 1 — the largest number that divides both 2 and 3 with no remainder.

What is the LCM of 2 and 3?+

The least common multiple (LCM) of 2 and 3 is 6 — the smallest number that both 2 and 3 divide into. It equals 2 × 3 ÷ GCF = 6 ÷ 1 = 6.