GCF and LCM of 100 and 150
The greatest common factor and least common multiple of 100 and 150.
GCF of 100 and 150
50
LCM of 100 and 150
300
How it works
Break each number into its prime factors:
- 100 = 2² × 5²
- 150 = 2 × 3 × 5²
The GCF (50) multiplies the primes both share, at the lowest power each appears. The LCM (300) multiplies every prime that appears in either number, at the highest power — which is also 100 × 150 ÷ 50 = 300.
Try other numbers
Need a different pair? The LCM & GCF calculator computes the GCF and LCM for any two numbers.
Related pairs
Frequently asked questions
What is the GCF of 100 and 150?+
The greatest common factor (GCF) of 100 and 150 is 50 — the largest number that divides both 100 and 150 with no remainder.
What is the LCM of 100 and 150?+
The least common multiple (LCM) of 100 and 150 is 300 — the smallest number that both 100 and 150 divide into. It equals 100 × 150 ÷ GCF = 15000 ÷ 50 = 300.