GCF and LCM of 16 and 24
The greatest common factor and least common multiple of 16 and 24.
GCF of 16 and 24
8
LCM of 16 and 24
48
How it works
Break each number into its prime factors:
- 16 = 2⁴
- 24 = 2³ × 3
The GCF (8) 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 16 × 24 ÷ 8 = 48.
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Frequently asked questions
What is the GCF of 16 and 24?+
The greatest common factor (GCF) of 16 and 24 is 8 — the largest number that divides both 16 and 24 with no remainder.
What is the LCM of 16 and 24?+
The least common multiple (LCM) of 16 and 24 is 48 — the smallest number that both 16 and 24 divide into. It equals 16 × 24 ÷ GCF = 384 ÷ 8 = 48.