GCF and LCM of 33 and 44
The greatest common factor and least common multiple of 33 and 44.
GCF of 33 and 44
11
LCM of 33 and 44
132
How it works
Break each number into its prime factors:
- 33 = 3 × 11
- 44 = 2² × 11
The GCF (11) multiplies the primes both share, at the lowest power each appears. The LCM (132) multiplies every prime that appears in either number, at the highest power — which is also 33 × 44 ÷ 11 = 132.
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Frequently asked questions
What is the GCF of 33 and 44?+
The greatest common factor (GCF) of 33 and 44 is 11 — the largest number that divides both 33 and 44 with no remainder.
What is the LCM of 33 and 44?+
The least common multiple (LCM) of 33 and 44 is 132 — the smallest number that both 33 and 44 divide into. It equals 33 × 44 ÷ GCF = 1452 ÷ 11 = 132.