GCF (HCF) of 31 and 59

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Greatest Common Factor of
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What is the Greatest Common Divisor of 31 and 59?

Answer

GCF (HCF) of 31 and 59 is
1

Common factors: 1

Only 1 divides both: 31 and 59 share no prime factor.

Such numbers are called coprime (relatively prime); their LCM is just the product: 31 × 59 = 1,829.

31 — prime

59 — prime

Prime3159Lowest power
3131——
59—59—

— = 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
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
31691
31701
31711
31721
31731

FAQ

What is the Greatest Common Divisor of 31 and 59?

GCF (HCF) of 31 and 59 is 1

How to find the GCF of 31 and 59?

You can find the GCF of 31 and 59 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 31 and 59 is 1.

What prime factors do 31 and 59 share?

31 and 59 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 31/59?

Divide the numerator and the denominator by the GCF 1: 31 ÷ 1 = 31 and 59 ÷ 1 = 59. So 31/59 in lowest terms is 31/59.

Are 31 and 59 coprime?

Yes, 31 and 59 are coprime (relatively prime) because their Greatest Common Factor is 1.