GCF (HCF) of 100 and 350

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What is the Greatest Common Divisor of 100 and 350?

Answer

GCF (HCF) of 100 and 350 is
50

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

50 divides both: 100 ÷ 50 = 2, 350 ÷ 50 = 7 — and 2 and 7 share no factor but 1, so no larger number divides both.

100 = 22 × 52

350 = 2 × 52 × 7

Prime100350Lowest power
22222
5525252
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
1002355
10024020
1002455
10025050
10026020
10027010
10027525
10028020
10029010
100300100
1003055
10031010
1003155
1003355
1003455
10035050
1003555
10036020
10037010
10037525
10038020
10039010
1003955
100400100
10041010
1004155
10042020
10042525
10043010
1004355

FAQ

What is the Greatest Common Divisor of 100 and 350?

GCF (HCF) of 100 and 350 is 50

How to find the GCF of 100 and 350?

You can find the GCF of 100 and 350 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 100 and 350 is 50.

What prime factors do 100 and 350 share?

The prime factorizations of 100 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 100/350?

Divide the numerator and the denominator by the GCF 50: 100 ÷ 50 = 2 and 350 ÷ 50 = 7. So 100/350 in lowest terms is 2/7.

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