GCF and LCM of 25 and 50
The greatest common factor and least common multiple of 25 and 50.
GCF of 25 and 50
25
LCM of 25 and 50
50
How it works
Break each number into its prime factors:
- 25 = 5²
- 50 = 2 × 5²
The GCF (25) multiplies the primes both share, at the lowest power each appears. The LCM (50) multiplies every prime that appears in either number, at the highest power — which is also 25 × 50 ÷ 25 = 50.
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Frequently asked questions
What is the GCF of 25 and 50?+
The greatest common factor (GCF) of 25 and 50 is 25 — the largest number that divides both 25 and 50 with no remainder.
What is the LCM of 25 and 50?+
The least common multiple (LCM) of 25 and 50 is 50 — the smallest number that both 25 and 50 divide into. It equals 25 × 50 ÷ GCF = 1250 ÷ 25 = 50.