GCF (HCF) of 37 and 58

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What is the Greatest Common Divisor of 37 and 58?

Answer

GCF (HCF) of 37 and 58 is
1

Common factors: 1

Only 1 divides both: 37 and 58 share no prime factor.

Such numbers are called coprime (relatively prime); their LCM is just the product: 37 × 58 = 2,146.

37 — prime

58 = 2 × 29

Prime3758Lowest power
2—2—
29—29—
3737——

— = 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
37391
37431
37451
37461
37471
37491
37501
37521
37531
37551
37561
37581
37591
37671
377437

FAQ

What is the Greatest Common Divisor of 37 and 58?

GCF (HCF) of 37 and 58 is 1

How to find the GCF of 37 and 58?

You can find the GCF of 37 and 58 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 37 and 58 is 1.

What prime factors do 37 and 58 share?

37 and 58 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 37/58?

Divide the numerator and the denominator by the GCF 1: 37 ÷ 1 = 37 and 58 ÷ 1 = 58. So 37/58 in lowest terms is 37/58.

Are 37 and 58 coprime?

Yes, 37 and 58 are coprime (relatively prime) because their Greatest Common Factor is 1.

See Also