GCF (HCF) of 9 and 45

"Greatest Common Factor" Calculator
Greatest Common Factor of
and

What is the Greatest Common Divisor of 9 and 45?

Answer

GCF (HCF) of 9 and 45 is
9

Common factors: 1, 3, 9

9 divides 45 (45 ÷ 9 = 5), so the GCF is the smaller number itself.

9 = 32

45 = 32 × 5

Prime945Lowest power
3323232
5—5—

— = power 0: the prime is not a factor of this number, so it cannot be in the GCF.

GCF = 32 = 9

More with these numbers

Related Calculations

See Also

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 45?

GCF (HCF) of 9 and 45 is 9

How to find the GCF of 9 and 45?

You can find the GCF of 9 and 45 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 9 and 45 is 9.

What prime factors do 9 and 45 share?

The prime factorizations of 9 and 45 have 3 × 3 in common, and multiplying those shared primes gives 9 — exactly the greatest common factor.

How does the GCF reduce the fraction 9/45?

Divide the numerator and the denominator by the GCF 9: 9 ÷ 9 = 1 and 45 ÷ 9 = 5. So 9/45 in lowest terms is 1/5.

See Also