GCF and LCM of 60 and 90
The greatest common factor and least common multiple of 60 and 90.
GCF of 60 and 90
30
LCM of 60 and 90
180
How it works
Break each number into its prime factors:
- 60 = 2² × 3 × 5
- 90 = 2 × 3² × 5
The GCF (30) 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 60 × 90 ÷ 30 = 180.
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Frequently asked questions
What is the GCF of 60 and 90?+
The greatest common factor (GCF) of 60 and 90 is 30 — the largest number that divides both 60 and 90 with no remainder.
What is the LCM of 60 and 90?+
The least common multiple (LCM) of 60 and 90 is 180 — the smallest number that both 60 and 90 divide into. It equals 60 × 90 ÷ GCF = 5400 ÷ 30 = 180.