GCF (HCF) of 3 and 58

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Greatest Common Factor of
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What is the Greatest Common Divisor of 3 and 58?

Answer

GCF (HCF) of 3 and 58 is
1

Common factors: 1

Only 1 divides both: 3 and 58 share no prime factor.

Such numbers are called coprime (relatively prime); their LCM is just the product: 3 × 58 = 174.

3 — prime

58 = 2 × 29

Prime358Lowest power
2—2—
33——
29—29—

— = 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
3111
3123
3141
3153
3161
3171
3183
3191
3213
3221
3243
3251
3273
3303
3341
3363
3423
3453
3461
3471
3483
3513
3543
3551
3573
3581
3651
3753
3813
31001

FAQ

What is the Greatest Common Divisor of 3 and 58?

GCF (HCF) of 3 and 58 is 1

How to find the GCF of 3 and 58?

You can find the GCF of 3 and 58 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 3 and 58 is 1.

What prime factors do 3 and 58 share?

3 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 3/58?

Divide the numerator and the denominator by the GCF 1: 3 ÷ 1 = 3 and 58 ÷ 1 = 58. So 3/58 in lowest terms is 3/58.

Are 3 and 58 coprime?

Yes, 3 and 58 are coprime (relatively prime) because their Greatest Common Factor is 1.

See Also