GCF (HCF) of 210 and 350

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What is the Greatest Common Divisor of 210 and 350?

Answer

GCF (HCF) of 210 and 350 is
70

Common factors: 1, 2, 5, 7, 10, 14, 35, 70

70 divides both: 210 ÷ 70 = 3, 350 ÷ 70 = 5 — and 3 and 5 share no factor but 1, so no larger number divides both.

210 = 2 × 3 × 5 × 7

350 = 2 × 52 × 7

Prime210350Lowest power
2222
33——
55525
7777

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

GCF = 2 × 5 × 7 = 70

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GCF Table

Number 1Number 2GCF
2103355
21033642
2103371
2103382
2103393
21034010
2103411
2103426
2103437
2103442
21034515
2103462
2103471
2103486
2103491
21035070
2103513
2103522
2103531
2103546
2103555
2103562
21035721
2103582
2103591
21036030
2103611
2103622
2103633
21036414

FAQ

What is the Greatest Common Divisor of 210 and 350?

GCF (HCF) of 210 and 350 is 70

How to find the GCF of 210 and 350?

You can find the GCF of 210 and 350 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 210 and 350 is 70.

What prime factors do 210 and 350 share?

The prime factorizations of 210 and 350 have 2 × 5 × 7 in common, and multiplying those shared primes gives 70 — exactly the greatest common factor.

How does the GCF reduce the fraction 210/350?

Divide the numerator and the denominator by the GCF 70: 210 ÷ 70 = 3 and 350 ÷ 70 = 5. So 210/350 in lowest terms is 3/5.

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