GCF and LCM of 6 and 16
The greatest common factor and least common multiple of 6 and 16.
GCF of 6 and 16
2
LCM of 6 and 16
48
How it works
Break each number into its prime factors:
- 6 = 2 × 3
- 16 = 2⁴
The GCF (2) multiplies the primes both share, at the lowest power each appears. The LCM (48) multiplies every prime that appears in either number, at the highest power — which is also 6 × 16 ÷ 2 = 48.
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Frequently asked questions
What is the GCF of 6 and 16?+
The greatest common factor (GCF) of 6 and 16 is 2 — the largest number that divides both 6 and 16 with no remainder.
What is the LCM of 6 and 16?+
The least common multiple (LCM) of 6 and 16 is 48 — the smallest number that both 6 and 16 divide into. It equals 6 × 16 ÷ GCF = 96 ÷ 2 = 48.