GCF and LCM of 13 and 16

The greatest common factor and least common multiple of 13 and 16.

GCF of 13 and 16
1
LCM of 13 and 16
208
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How it works

Break each number into its prime factors:

  • 13 = 13
  • 16 = 2⁴

The GCF (1) multiplies the primes both share, at the lowest power each appears. The LCM (208) multiplies every prime that appears in either number, at the highest power — which is also 13 × 16 ÷ 1 = 208.

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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 13 and 16?+

The greatest common factor (GCF) of 13 and 16 is 1 — the largest number that divides both 13 and 16 with no remainder.

What is the LCM of 13 and 16?+

The least common multiple (LCM) of 13 and 16 is 208 — the smallest number that both 13 and 16 divide into. It equals 13 × 16 ÷ GCF = 208 ÷ 1 = 208.