GCF and LCM of 14 and 16
The greatest common factor and least common multiple of 14 and 16.
GCF of 14 and 16
2
LCM of 14 and 16
112
How it works
Break each number into its prime factors:
- 14 = 2 × 7
- 16 = 2⁴
The GCF (2) multiplies the primes both share, at the lowest power each appears. The LCM (112) multiplies every prime that appears in either number, at the highest power — which is also 14 × 16 ÷ 2 = 112.
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Frequently asked questions
What is the GCF of 14 and 16?+
The greatest common factor (GCF) of 14 and 16 is 2 — the largest number that divides both 14 and 16 with no remainder.
What is the LCM of 14 and 16?+
The least common multiple (LCM) of 14 and 16 is 112 — the smallest number that both 14 and 16 divide into. It equals 14 × 16 ÷ GCF = 224 ÷ 2 = 112.