GCF (HCF) of 27 and 31

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What is the Greatest Common Divisor of 27 and 31?

Answer

GCF (HCF) of 27 and 31 is
1

Common factors: 1

Only 1 divides both: 27 and 31 share no prime factor.

Such numbers are called coprime (relatively prime); their LCM is just the product: 27 × 31 = 837.

27 = 33

31 — prime

Prime2731Lowest power
333——
31—31—

— = 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
27189
27281
27303
27311
27321
27333
27341
27351
27369
27381
27393
27401
27423
27431
27459
27461
27483
27491
27501
27513
275427
27561
27573
27591
27603
27639
27641
27753
278127
27909

FAQ

What is the Greatest Common Divisor of 27 and 31?

GCF (HCF) of 27 and 31 is 1

How to find the GCF of 27 and 31?

You can find the GCF of 27 and 31 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 27 and 31 is 1.

What prime factors do 27 and 31 share?

27 and 31 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 27/31?

Divide the numerator and the denominator by the GCF 1: 27 ÷ 1 = 27 and 31 ÷ 1 = 31. So 27/31 in lowest terms is 27/31.

Are 27 and 31 coprime?

Yes, 27 and 31 are coprime (relatively prime) because their Greatest Common Factor is 1.

See Also