GCF (HCF) of 250 and 350

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Greatest Common Factor of
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What is the Greatest Common Divisor of 250 and 350?

Answer

GCF (HCF) of 250 and 350 is
50

Common factors: 1, 2, 5, 10, 25, 50

50 divides both: 250 ÷ 50 = 5, 350 ÷ 50 = 7 — and 5 and 7 share no factor but 1, so no larger number divides both.

250 = 2 × 53

350 = 2 × 52 × 7

Prime250350Lowest power
2222
5535252
7—7—

— = power 0: the prime is not a factor of this number, so it cannot be in the GCF.

GCF = 2 × 52 = 50

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GCF Table

Number 1Number 2GCF
2503355
2503362
2503371
2503382
2503391
25034010
2503411
2503422
2503431
2503442
2503455
2503462
2503471
2503482
2503491
25035050
2503511
2503522
2503531
2503542
2503555
2503562
2503571
2503582
2503591
25036010
2503611
2503622
2503631
2503642

FAQ

What is the Greatest Common Divisor of 250 and 350?

GCF (HCF) of 250 and 350 is 50

How to find the GCF of 250 and 350?

You can find the GCF of 250 and 350 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 250 and 350 is 50.

What prime factors do 250 and 350 share?

The prime factorizations of 250 and 350 have 2 × 5 × 5 in common, and multiplying those shared primes gives 50 — exactly the greatest common factor.

How does the GCF reduce the fraction 250/350?

Divide the numerator and the denominator by the GCF 50: 250 ÷ 50 = 5 and 350 ÷ 50 = 7. So 250/350 in lowest terms is 5/7.

See Also