GCF (HCF) of 100 and 335

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What is the Greatest Common Divisor of 100 and 335?

Answer

GCF (HCF) of 100 and 335 is
5

Common factors: 1, 5

5 divides both: 100 ÷ 5 = 20, 335 ÷ 5 = 67 — and 20 and 67 share no factor but 1, so no larger number divides both.

100 = 22 × 52

335 = 5 × 67

Prime100335Lowest power
222——
55255
67—67—

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

GCF = 5

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GCF Table

Number 1Number 2GCF
10022020
10023010
1002355
10024020
1002455
10025050
10026020
10027010
10027525
10028020
10029010
100300100
1003055
10031010
1003155
1003355
1003455
10035050
10036020
10037010
10038020
1003955
100400100
10041010
1004155
10042020
10042525
10043010
1004355
10044020

FAQ

What is the Greatest Common Divisor of 100 and 335?

GCF (HCF) of 100 and 335 is 5

How to find the GCF of 100 and 335?

You can find the GCF of 100 and 335 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 100 and 335 is 5.

What prime factors do 100 and 335 share?

The prime factorizations of 100 and 335 have 5 in common, and multiplying those shared primes gives 5 — exactly the greatest common factor.

How does the GCF reduce the fraction 100/335?

Divide the numerator and the denominator by the GCF 5: 100 ÷ 5 = 20 and 335 ÷ 5 = 67. So 100/335 in lowest terms is 20/67.

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