GCF (HCF) of 5 and 31

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Greatest Common Factor of
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What is the Greatest Common Divisor of 5 and 31?

Answer

GCF (HCF) of 5 and 31 is
1

Common factors: 1

Only 1 divides both: 5 and 31 share no prime factor.

Such numbers are called coprime (relatively prime); their LCM is just the product: 5 × 31 = 155.

5 — prime

31 — prime

Prime531Lowest power
55——
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
5141
5155
5161
5171
5181
5191
5205
5211
5221
5231
5241
5255
5271
5281
5305
5311
5331
5355
5361
5371
5405
5441
5455
5461
5471
5505
5531
5605
5655
5705

FAQ

What is the Greatest Common Divisor of 5 and 31?

GCF (HCF) of 5 and 31 is 1

How to find the GCF of 5 and 31?

You can find the GCF of 5 and 31 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 5 and 31 is 1.

What prime factors do 5 and 31 share?

5 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 5/31?

Divide the numerator and the denominator by the GCF 1: 5 ÷ 1 = 5 and 31 ÷ 1 = 31. So 5/31 in lowest terms is 5/31.

Are 5 and 31 coprime?

Yes, 5 and 31 are coprime (relatively prime) because their Greatest Common Factor is 1.

See Also