GCF and LCM of 6 and 14
The greatest common factor and least common multiple of 6 and 14.
GCF of 6 and 14
2
LCM of 6 and 14
42
How it works
Break each number into its prime factors:
- 6 = 2 × 3
- 14 = 2 × 7
The GCF (2) multiplies the primes both share, at the lowest power each appears. The LCM (42) multiplies every prime that appears in either number, at the highest power — which is also 6 × 14 ÷ 2 = 42.
Try other numbers
Need a different pair? The LCM & GCF calculator computes the GCF and LCM for any two numbers.
Related pairs
Frequently asked questions
What is the GCF of 6 and 14?+
The greatest common factor (GCF) of 6 and 14 is 2 — the largest number that divides both 6 and 14 with no remainder.
What is the LCM of 6 and 14?+
The least common multiple (LCM) of 6 and 14 is 42 — the smallest number that both 6 and 14 divide into. It equals 6 × 14 ÷ GCF = 84 ÷ 2 = 42.