GCF and LCM of 5 and 13
The greatest common factor and least common multiple of 5 and 13.
GCF of 5 and 13
1
LCM of 5 and 13
65
How it works
Break each number into its prime factors:
- 5 = 5
- 13 = 13
The GCF (1) multiplies the primes both share, at the lowest power each appears. The LCM (65) multiplies every prime that appears in either number, at the highest power — which is also 5 × 13 ÷ 1 = 65.
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Frequently asked questions
What is the GCF of 5 and 13?+
The greatest common factor (GCF) of 5 and 13 is 1 — the largest number that divides both 5 and 13 with no remainder.
What is the LCM of 5 and 13?+
The least common multiple (LCM) of 5 and 13 is 65 — the smallest number that both 5 and 13 divide into. It equals 5 × 13 ÷ GCF = 65 ÷ 1 = 65.