GCF (HCF) of 19 and 38

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What is the Greatest Common Divisor of 19 and 38?

Answer

GCF (HCF) of 19 and 38 is
19

Common factors: 1, 19

19 divides 38 (38 ÷ 19 = 2), so the GCF is the smaller number itself.

19 — prime

38 = 2 × 19

Prime1938Lowest power
2—2—
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
19201
19211
19221
19231
19241
19251
19261
19291
19301
19321
19341
19361
19371
193819
19401
19411
19451
19461
19481
19501
19531
19551
19561
195719
19601

FAQ

What is the Greatest Common Divisor of 19 and 38?

GCF (HCF) of 19 and 38 is 19

How to find the GCF of 19 and 38?

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

What prime factors do 19 and 38 share?

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

How does the GCF reduce the fraction 19/38?

Divide the numerator and the denominator by the GCF 19: 19 ÷ 19 = 1 and 38 ÷ 19 = 2. So 19/38 in lowest terms is 1/2.

See Also