GCF (HCF) of 31 and 38

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Greatest Common Factor of
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What is the Greatest Common Divisor of 31 and 38?

Answer

GCF (HCF) of 31 and 38 is
1

Common factors: 1

Only 1 divides both: 31 and 38 share no prime factor.

Such numbers are called coprime (relatively prime); their LCM is just the product: 31 × 38 = 1,178.

31 — prime

38 = 2 × 19

Prime3138Lowest power
2—2—
19—19—
3131——

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

GCF = 1

See Also

GCF Table

Number 1Number 2GCF
31231
31241
31251
31261
31271
31281
31291
31301
313131
31321
31331
31341
31351
31361
31371
31381
31391
31401
31411
31421
31431
31441
31451
31461
31471
31481
31491
31501
31511
31521

FAQ

What is the Greatest Common Divisor of 31 and 38?

GCF (HCF) of 31 and 38 is 1

How to find the GCF of 31 and 38?

You can find the GCF of 31 and 38 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 31 and 38 is 1.

What prime factors do 31 and 38 share?

31 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 31/38?

Divide the numerator and the denominator by the GCF 1: 31 ÷ 1 = 31 and 38 ÷ 1 = 38. So 31/38 in lowest terms is 31/38.

Are 31 and 38 coprime?

Yes, 31 and 38 are coprime (relatively prime) because their Greatest Common Factor is 1.