GCF (HCF) of 15 and 38

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What is the Greatest Common Divisor of 15 and 38?

Answer

GCF (HCF) of 15 and 38 is
1

Common factors: 1

Only 1 divides both: 15 and 38 share no prime factor.

Such numbers are called coprime (relatively prime); their LCM is just the product: 15 × 38 = 570.

15 = 3 × 5

38 = 2 × 19

Prime1538Lowest power
2—2—
33——
55——
19—19—

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

GCF = 1

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GCF Table

Number 1Number 2GCF
15205
15213
15221
15231
15243
15255
15261
15273
15281
15291
153015
15321
15333
15355
15363
15381
15405
15423
15441
154515
15483
15491
15505
15531
15543
15555
15561
156015
15641
157515

FAQ

What is the Greatest Common Divisor of 15 and 38?

GCF (HCF) of 15 and 38 is 1

How to find the GCF of 15 and 38?

You can find the GCF of 15 and 38 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 15 and 38 is 1.

What prime factors do 15 and 38 share?

15 and 38 have no prime factor in common, so the only integer that divides both of them is 1 and their GCF is 1.

How does the GCF reduce the fraction 15/38?

Divide the numerator and the denominator by the GCF 1: 15 ÷ 1 = 15 and 38 ÷ 1 = 38. So 15/38 in lowest terms is 15/38.

Are 15 and 38 coprime?

Yes, 15 and 38 are coprime (relatively prime) because their Greatest Common Factor is 1.

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