GCF (HCF) of 31 and 54

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Greatest Common Factor of
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What is the Greatest Common Divisor of 31 and 54?

Answer

GCF (HCF) of 31 and 54 is
1

Common factors: 1

Only 1 divides both: 31 and 54 share no prime factor.

Such numbers are called coprime (relatively prime); their LCM is just the product: 31 × 54 = 1,674.

31 — prime

54 = 2 × 33

Prime3154Lowest power
2—2—
3—33—
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
31391
31401
31411
31421
31431
31441
31451
31461
31471
31481
31491
31501
31511
31521
31531
31541
31551
31561
31571
31581
31591
31601
31611
316231
31631
31641
31651
31661
31671
31681

FAQ

What is the Greatest Common Divisor of 31 and 54?

GCF (HCF) of 31 and 54 is 1

How to find the GCF of 31 and 54?

You can find the GCF of 31 and 54 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 31 and 54 is 1.

What prime factors do 31 and 54 share?

31 and 54 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 31/54?

Divide the numerator and the denominator by the GCF 1: 31 ÷ 1 = 31 and 54 ÷ 1 = 54. So 31/54 in lowest terms is 31/54.

Are 31 and 54 coprime?

Yes, 31 and 54 are coprime (relatively prime) because their Greatest Common Factor is 1.