GCF and LCM of 10 and 25
The greatest common factor and least common multiple of 10 and 25.
GCF of 10 and 25
5
LCM of 10 and 25
50
How it works
Break each number into its prime factors:
- 10 = 2 × 5
- 25 = 5²
The GCF (5) 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 10 × 25 ÷ 5 = 50.
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Frequently asked questions
What is the GCF of 10 and 25?+
The greatest common factor (GCF) of 10 and 25 is 5 — the largest number that divides both 10 and 25 with no remainder.
What is the LCM of 10 and 25?+
The least common multiple (LCM) of 10 and 25 is 50 — the smallest number that both 10 and 25 divide into. It equals 10 × 25 ÷ GCF = 250 ÷ 5 = 50.