GCF and LCM of 36 and 60
The greatest common factor and least common multiple of 36 and 60.
GCF of 36 and 60
12
LCM of 36 and 60
180
How it works
Break each number into its prime factors:
- 36 = 2² × 3²
- 60 = 2² × 3 × 5
The GCF (12) multiplies the primes both share, at the lowest power each appears. The LCM (180) multiplies every prime that appears in either number, at the highest power — which is also 36 × 60 ÷ 12 = 180.
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Frequently asked questions
What is the GCF of 36 and 60?+
The greatest common factor (GCF) of 36 and 60 is 12 — the largest number that divides both 36 and 60 with no remainder.
What is the LCM of 36 and 60?+
The least common multiple (LCM) of 36 and 60 is 180 — the smallest number that both 36 and 60 divide into. It equals 36 × 60 ÷ GCF = 2160 ÷ 12 = 180.