GCF (HCF) of 38 and 95

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Greatest Common Factor of
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What is the Greatest Common Divisor of 38 and 95?

Answer

GCF (HCF) of 38 and 95 is
19

Common factors: 1, 19

19 divides both: 38 ÷ 19 = 2, 95 ÷ 19 = 5 — and 2 and 5 share no factor but 1, so no larger number divides both.

38 = 2 × 19

95 = 5 × 19

Prime3895Lowest power
22——
5—5—
19191919

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

GCF = 19

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GCF Table

Number 1Number 2GCF
38802
38811
38822
38831
38842
38851
38862
38871
38882
38891
38902
38911
38922
38931
38942
389519
38962
38971
38982
38991
381002
381011
381022
381031
381042
381051
381062
381071
381082
381091

FAQ

What is the Greatest Common Divisor of 38 and 95?

GCF (HCF) of 38 and 95 is 19

How to find the GCF of 38 and 95?

You can find the GCF of 38 and 95 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 38 and 95 is 19.

What prime factors do 38 and 95 share?

The prime factorizations of 38 and 95 have 19 in common, and multiplying those shared primes gives 19 — exactly the greatest common factor.

How does the GCF reduce the fraction 38/95?

Divide the numerator and the denominator by the GCF 19: 38 ÷ 19 = 2 and 95 ÷ 19 = 5. So 38/95 in lowest terms is 2/5.

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