GCF and LCM of 9 and 16
The greatest common factor and least common multiple of 9 and 16.
GCF of 9 and 16
1
LCM of 9 and 16
144
How it works
Break each number into its prime factors:
- 9 = 3²
- 16 = 2⁴
The GCF (1) multiplies the primes both share, at the lowest power each appears. The LCM (144) multiplies every prime that appears in either number, at the highest power — which is also 9 × 16 ÷ 1 = 144.
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Frequently asked questions
What is the GCF of 9 and 16?+
The greatest common factor (GCF) of 9 and 16 is 1 — the largest number that divides both 9 and 16 with no remainder.
What is the LCM of 9 and 16?+
The least common multiple (LCM) of 9 and 16 is 144 — the smallest number that both 9 and 16 divide into. It equals 9 × 16 ÷ GCF = 144 ÷ 1 = 144.