GCF (HCF) of 45 and 405

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What is the Greatest Common Divisor of 45 and 405?

Answer

GCF (HCF) of 45 and 405 is
45

Common factors: 1, 3, 5, 9, 15, 45

45 divides 405 (405 ÷ 45 = 9), so the GCF is the smaller number itself.

45 = 32 × 5

405 = 34 × 5

Prime45405Lowest power
3323432
5555

GCF = 32 × 5 = 45

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GCF Table

Number 1Number 2GCF
45483
45491
45505
45513
45521
45549
45555
45561
456015
45639
45655
45705
45729
457515
45761
45805
45819
459045
45955
45999
451005
4510515
451089
451179
4512015
451255
4513545
4515015
4518045
4540545

FAQ

What is the Greatest Common Divisor of 45 and 405?

GCF (HCF) of 45 and 405 is 45

How to find the GCF of 45 and 405?

You can find the GCF of 45 and 405 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 45 and 405 is 45.

What prime factors do 45 and 405 share?

The prime factorizations of 45 and 405 have 3 × 3 × 5 in common, and multiplying those shared primes gives 45 — exactly the greatest common factor.

How does the GCF reduce the fraction 45/405?

Divide the numerator and the denominator by the GCF 45: 45 ÷ 45 = 1 and 405 ÷ 45 = 9. So 45/405 in lowest terms is 1/9.

See Also