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GCF (HCF) of 45 and 405

"Greatest Common Factor" Calculator

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

Prime	45	405	Lowest power
3	3²	3⁴	3²
5	5	5	5

GCF = 3² × 5 = 45

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See Also

Least Common Multiple - Find the Least Common Multiple (LCM) of two numbers
Greatest Common Factor of 3 Numbers - Find the Greatest Common Factor (GCF) of three numbers
Least Common Multiple of 3 Numbers - Find the Least Common Multiple (LCM) of three numbers

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What is the GCF (HCF) of 45 and 405. The GCF of 45 and 405 is 45 — the biggest number that can divide both integers. Step-by-step GCF (GCD) calculation by factoring.

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GCF Table

Number 1	Number 2	GCF
45	48	3
45	49	1
45	50	5
45	51	3
45	52	1
45	54	9
45	55	5
45	56	1
45	60	15
45	63	9
45	65	5
45	70	5
45	72	9
45	75	15
45	76	1
45	80	5
45	81	9
45	90	45
45	95	5
45	99	9
45	100	5
45	105	15
45	108	9
45	117	9
45	120	15
45	125	5
45	135	45
45	150	15
45	180	45
45	405	45

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.