GCF and LCM of 35 and 50
The greatest common factor and least common multiple of 35 and 50.
GCF of 35 and 50
5
LCM of 35 and 50
350
How it works
Break each number into its prime factors:
- 35 = 5 × 7
- 50 = 2 × 5²
The GCF (5) multiplies the primes both share, at the lowest power each appears. The LCM (350) multiplies every prime that appears in either number, at the highest power — which is also 35 × 50 ÷ 5 = 350.
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Frequently asked questions
What is the GCF of 35 and 50?+
The greatest common factor (GCF) of 35 and 50 is 5 — the largest number that divides both 35 and 50 with no remainder.
What is the LCM of 35 and 50?+
The least common multiple (LCM) of 35 and 50 is 350 — the smallest number that both 35 and 50 divide into. It equals 35 × 50 ÷ GCF = 1750 ÷ 5 = 350.