GCF and LCM of 72 and 108
The greatest common factor and least common multiple of 72 and 108.
GCF of 72 and 108
36
LCM of 72 and 108
216
How it works
Break each number into its prime factors:
- 72 = 2³ × 3²
- 108 = 2² × 3³
The GCF (36) multiplies the primes both share, at the lowest power each appears. The LCM (216) multiplies every prime that appears in either number, at the highest power — which is also 72 × 108 ÷ 36 = 216.
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Frequently asked questions
What is the GCF of 72 and 108?+
The greatest common factor (GCF) of 72 and 108 is 36 — the largest number that divides both 72 and 108 with no remainder.
What is the LCM of 72 and 108?+
The least common multiple (LCM) of 72 and 108 is 216 — the smallest number that both 72 and 108 divide into. It equals 72 × 108 ÷ GCF = 7776 ÷ 36 = 216.