GCF and LCM of 3 and 13
The greatest common factor and least common multiple of 3 and 13.
GCF of 3 and 13
1
LCM of 3 and 13
39
How it works
Break each number into its prime factors:
- 3 = 3
- 13 = 13
The GCF (1) multiplies the primes both share, at the lowest power each appears. The LCM (39) multiplies every prime that appears in either number, at the highest power — which is also 3 × 13 ÷ 1 = 39.
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Frequently asked questions
What is the GCF of 3 and 13?+
The greatest common factor (GCF) of 3 and 13 is 1 — the largest number that divides both 3 and 13 with no remainder.
What is the LCM of 3 and 13?+
The least common multiple (LCM) of 3 and 13 is 39 — the smallest number that both 3 and 13 divide into. It equals 3 × 13 ÷ GCF = 39 ÷ 1 = 39.