GCF (HCF) of 9 and 34

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Greatest Common Factor of
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What is the Greatest Common Divisor of 9 and 34?

Answer

GCF (HCF) of 9 and 34 is
1

Common factors: 1

Only 1 divides both: 9 and 34 share no prime factor.

Such numbers are called coprime (relatively prime); their LCM is just the product: 9 × 34 = 306.

9 = 32

34 = 2 × 17

Prime934Lowest power
2—2—
332——
17—17—

— = 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
9153
9161
9171
9189
9191
9201
9213
9221
9243
9251
9261
9279
9281
9291
9303
9341
9351
9369
9393
9401
9423
9459
9461
9483
9491
9501
9549
9561
9639
9641

FAQ

What is the Greatest Common Divisor of 9 and 34?

GCF (HCF) of 9 and 34 is 1

How to find the GCF of 9 and 34?

You can find the GCF of 9 and 34 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 9 and 34 is 1.

What prime factors do 9 and 34 share?

9 and 34 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 9/34?

Divide the numerator and the denominator by the GCF 1: 9 ÷ 1 = 9 and 34 ÷ 1 = 34. So 9/34 in lowest terms is 9/34.

Are 9 and 34 coprime?

Yes, 9 and 34 are coprime (relatively prime) because their Greatest Common Factor is 1.

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