GCF (HCF) of 31 and 93

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Greatest Common Factor of
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What is the Greatest Common Divisor of 31 and 93?

Answer

GCF (HCF) of 31 and 93 is
31

Common factors: 1, 31

31 divides 93 (93 ÷ 31 = 3), so the GCF is the smaller number itself.

31 — prime

93 = 3 × 31

Prime3193Lowest power
3—3—
31313131

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

GCF = 31

See Also

GCF Table

Number 1Number 2GCF
31781
31791
31801
31811
31821
31831
31841
31851
31861
31871
31881
31891
31901
31911
31921
319331
31941
31951
31961
31971
31981
31991
311001
311011
311021
311031
311041
311051
311061
311071

FAQ

What is the Greatest Common Divisor of 31 and 93?

GCF (HCF) of 31 and 93 is 31

How to find the GCF of 31 and 93?

You can find the GCF of 31 and 93 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 31 and 93 is 31.

What prime factors do 31 and 93 share?

The prime factorizations of 31 and 93 have 31 in common, and multiplying those shared primes gives 31 — exactly the greatest common factor.

How does the GCF reduce the fraction 31/93?

Divide the numerator and the denominator by the GCF 31: 31 ÷ 31 = 1 and 93 ÷ 31 = 3. So 31/93 in lowest terms is 1/3.