GCF (HCF) of 13 and 38

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What is the Greatest Common Divisor of 13 and 38?

Answer

GCF (HCF) of 13 and 38 is
1

Common factors: 1

Only 1 divides both: 13 and 38 share no prime factor.

Such numbers are called coprime (relatively prime); their LCM is just the product: 13 × 38 = 494.

13 — prime

38 = 2 × 19

Prime1338Lowest power
2—2—
1313——
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
13201
13211
13221
13241
13251
132613
13271
13291
13301
13311
13321
13341
13351
13361
13371
13381
133913
13411
13421
13451
13461
13471
13481
13501
135213
13541
13551
13561
13581
13601

FAQ

What is the Greatest Common Divisor of 13 and 38?

GCF (HCF) of 13 and 38 is 1

How to find the GCF of 13 and 38?

You can find the GCF of 13 and 38 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 13 and 38 is 1.

What prime factors do 13 and 38 share?

13 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 13/38?

Divide the numerator and the denominator by the GCF 1: 13 ÷ 1 = 13 and 38 ÷ 1 = 38. So 13/38 in lowest terms is 13/38.

Are 13 and 38 coprime?

Yes, 13 and 38 are coprime (relatively prime) because their Greatest Common Factor is 1.

See Also