GCF and LCM of 3 and 10
The greatest common factor and least common multiple of 3 and 10.
GCF of 3 and 10
1
LCM of 3 and 10
30
How it works
Break each number into its prime factors:
- 3 = 3
- 10 = 2 × 5
The GCF (1) multiplies the primes both share, at the lowest power each appears. The LCM (30) multiplies every prime that appears in either number, at the highest power — which is also 3 × 10 ÷ 1 = 30.
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Frequently asked questions
What is the GCF of 3 and 10?+
The greatest common factor (GCF) of 3 and 10 is 1 — the largest number that divides both 3 and 10 with no remainder.
What is the LCM of 3 and 10?+
The least common multiple (LCM) of 3 and 10 is 30 — the smallest number that both 3 and 10 divide into. It equals 3 × 10 ÷ GCF = 30 ÷ 1 = 30.