GCF and LCM of 75 and 100
The greatest common factor and least common multiple of 75 and 100.
GCF of 75 and 100
25
LCM of 75 and 100
300
How it works
Break each number into its prime factors:
- 75 = 3 × 5²
- 100 = 2² × 5²
The GCF (25) 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 75 × 100 ÷ 25 = 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 75 and 100?+
The greatest common factor (GCF) of 75 and 100 is 25 — the largest number that divides both 75 and 100 with no remainder.
What is the LCM of 75 and 100?+
The least common multiple (LCM) of 75 and 100 is 300 — the smallest number that both 75 and 100 divide into. It equals 75 × 100 ÷ GCF = 7500 ÷ 25 = 300.