GCF and LCM of 27 and 36
The greatest common factor and least common multiple of 27 and 36.
GCF of 27 and 36
9
LCM of 27 and 36
108
How it works
Break each number into its prime factors:
- 27 = 3³
- 36 = 2² × 3²
The GCF (9) multiplies the primes both share, at the lowest power each appears. The LCM (108) multiplies every prime that appears in either number, at the highest power — which is also 27 × 36 ÷ 9 = 108.
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Frequently asked questions
What is the GCF of 27 and 36?+
The greatest common factor (GCF) of 27 and 36 is 9 — the largest number that divides both 27 and 36 with no remainder.
What is the LCM of 27 and 36?+
The least common multiple (LCM) of 27 and 36 is 108 — the smallest number that both 27 and 36 divide into. It equals 27 × 36 ÷ GCF = 972 ÷ 9 = 108.