GCF and LCM of 40 and 60
The greatest common factor and least common multiple of 40 and 60.
GCF of 40 and 60
20
LCM of 40 and 60
120
How it works
Break each number into its prime factors:
- 40 = 2³ × 5
- 60 = 2² × 3 × 5
The GCF (20) multiplies the primes both share, at the lowest power each appears. The LCM (120) multiplies every prime that appears in either number, at the highest power — which is also 40 × 60 ÷ 20 = 120.
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Frequently asked questions
What is the GCF of 40 and 60?+
The greatest common factor (GCF) of 40 and 60 is 20 — the largest number that divides both 40 and 60 with no remainder.
What is the LCM of 40 and 60?+
The least common multiple (LCM) of 40 and 60 is 120 — the smallest number that both 40 and 60 divide into. It equals 40 × 60 ÷ GCF = 2400 ÷ 20 = 120.