GCF and LCM of 50 and 75
The greatest common factor and least common multiple of 50 and 75.
GCF of 50 and 75
25
LCM of 50 and 75
150
How it works
Break each number into its prime factors:
- 50 = 2 × 5²
- 75 = 3 × 5²
The GCF (25) multiplies the primes both share, at the lowest power each appears. The LCM (150) multiplies every prime that appears in either number, at the highest power — which is also 50 × 75 ÷ 25 = 150.
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Frequently asked questions
What is the GCF of 50 and 75?+
The greatest common factor (GCF) of 50 and 75 is 25 — the largest number that divides both 50 and 75 with no remainder.
What is the LCM of 50 and 75?+
The least common multiple (LCM) of 50 and 75 is 150 — the smallest number that both 50 and 75 divide into. It equals 50 × 75 ÷ GCF = 3750 ÷ 25 = 150.