GCF (HCF) of 5 and 45

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Greatest Common Factor of
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What is the Greatest Common Divisor of 5 and 45?

Answer

GCF (HCF) of 5 and 45 is
5

Common factors: 1, 5

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

5 — prime

45 = 32 × 5

Prime545Lowest power
3—32—
5555

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

GCF = 5

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GCF Table

Number 1Number 2GCF
5211
5221
5231
5241
5255
5271
5281
5305
5311
5331
5355
5361
5371
5405
5441
5455
5461
5471
5505
5531
5605
5655
5705
5755
5805
5905
51005
51205
51255
51505

FAQ

What is the Greatest Common Divisor of 5 and 45?

GCF (HCF) of 5 and 45 is 5

How to find the GCF of 5 and 45?

You can find the GCF of 5 and 45 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 5 and 45 is 5.

What prime factors do 5 and 45 share?

The prime factorizations of 5 and 45 have 5 in common, and multiplying those shared primes gives 5 — exactly the greatest common factor.

How does the GCF reduce the fraction 5/45?

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

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