GCF (HCF) of 100 and 230

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What is the Greatest Common Divisor of 100 and 230?

Answer

GCF (HCF) of 100 and 230 is
10

Common factors: 1, 2, 5, 10

10 divides both: 100 ÷ 10 = 10, 230 ÷ 10 = 23 — and 10 and 23 share no factor but 1, so no larger number divides both.

100 = 22 × 52

230 = 2 × 5 × 23

Prime100230Lowest power
22222
55255
23—23—

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

GCF = 2 × 5 = 10

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Number 1Number 2GCF
10012525
1001355
10014020
1001444
1001455
10015050
10016020
1001655
10017010
10018020
1001855
10019010
100200100
1002055
10022020
10023010
1002355
10024020
1002455
10025050
10026020
10027010
10027525
10028020
10029010
100300100
1003055
10031010
1003155
1003355

FAQ

What is the Greatest Common Divisor of 100 and 230?

GCF (HCF) of 100 and 230 is 10

How to find the GCF of 100 and 230?

You can find the GCF of 100 and 230 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 100 and 230 is 10.

What prime factors do 100 and 230 share?

The prime factorizations of 100 and 230 have 2 × 5 in common, and multiplying those shared primes gives 10 — exactly the greatest common factor.

How does the GCF reduce the fraction 100/230?

Divide the numerator and the denominator by the GCF 10: 100 ÷ 10 = 10 and 230 ÷ 10 = 23. So 100/230 in lowest terms is 10/23.

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