GCF (HCF) of 9 and 49

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What is the Greatest Common Divisor of 9 and 49?

Answer

GCF (HCF) of 9 and 49 is
1

Common factors: 1

Only 1 divides both: 9 and 49 share no prime factor.

Such numbers are called coprime (relatively prime); their LCM is just the product: 9 × 49 = 441.

9 = 32

49 = 72

Prime949Lowest power
332——
7—72—

— = 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
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
91001
91211

FAQ

What is the Greatest Common Divisor of 9 and 49?

GCF (HCF) of 9 and 49 is 1

How to find the GCF of 9 and 49?

You can find the GCF of 9 and 49 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 9 and 49 is 1.

What prime factors do 9 and 49 share?

9 and 49 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 9/49?

Divide the numerator and the denominator by the GCF 1: 9 ÷ 1 = 9 and 49 ÷ 1 = 49. So 9/49 in lowest terms is 9/49.

Are 9 and 49 coprime?

Yes, 9 and 49 are coprime (relatively prime) because their Greatest Common Factor is 1.

See Also