GCF (HCF) of 9 and 100

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What is the Greatest Common Divisor of 9 and 100?

Answer

GCF (HCF) of 9 and 100 is
1

Common factors: 1

Only 1 divides both: 9 and 100 share no prime factor.

Such numbers are called coprime (relatively prime); their LCM is just the product: 9 × 100 = 900.

9 = 32

100 = 22 × 52

Prime9100Lowest power
2—22—
332——
5—52—

— = 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 100?

GCF (HCF) of 9 and 100 is 1

How to find the GCF of 9 and 100?

You can find the GCF of 9 and 100 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 9 and 100 is 1.

What prime factors do 9 and 100 share?

9 and 100 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 9/100?

Divide the numerator and the denominator by the GCF 1: 9 ÷ 1 = 9 and 100 ÷ 1 = 100. So 9/100 in lowest terms is 9/100.

Are 9 and 100 coprime?

Yes, 9 and 100 are coprime (relatively prime) because their Greatest Common Factor is 1.

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