GCF (HCF) of 38 and 57

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What is the Greatest Common Divisor of 38 and 57?

Answer

GCF (HCF) of 38 and 57 is
19

Common factors: 1, 19

19 divides both: 38 ÷ 19 = 2, 57 ÷ 19 = 3 — and 2 and 3 share no factor but 1, so no larger number divides both.

38 = 2 × 19

57 = 3 × 19

Prime3857Lowest power
22——
3—3—
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
38422
38431
38442
38451
38462
38471
38482
38491
38502
38511
38522
38531
38542
38551
38562
385719
38582
38591
38602
38611
38622
38631
38642
38651
38662
38671
38682
38691
38702
38711

FAQ

What is the Greatest Common Divisor of 38 and 57?

GCF (HCF) of 38 and 57 is 19

How to find the GCF of 38 and 57?

You can find the GCF of 38 and 57 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 38 and 57 is 19.

What prime factors do 38 and 57 share?

The prime factorizations of 38 and 57 have 19 in common, and multiplying those shared primes gives 19 — exactly the greatest common factor.

How does the GCF reduce the fraction 38/57?

Divide the numerator and the denominator by the GCF 19: 38 ÷ 19 = 2 and 57 ÷ 19 = 3. So 38/57 in lowest terms is 2/3.

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