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GCF (HCF) of 9 and 40

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What is the Greatest Common Divisor of 9 and 40?

Answer

GCF (HCF) of 9 and 40 is

1

Common factors: 1

Only 1 divides both: 9 and 40 share no prime factor.

Such numbers are called coprime (relatively prime); their LCM is just the product: 9 × 40 = 360.

9 = 3²

40 = 2³ × 5

Prime	9	40	Lowest power
2	—	2³	—
3	3²	—	—
5	—	5	—

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

GCF = 1

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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 9 and 40. The GCF of 9 and 40 is 1 — 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
9	17	1
9	18	9
9	19	1
9	20	1
9	21	3
9	22	1
9	24	3
9	25	1
9	26	1
9	27	9
9	28	1
9	29	1
9	30	3
9	34	1
9	35	1
9	36	9
9	39	3
9	40	1
9	42	3
9	45	9
9	46	1
9	48	3
9	49	1
9	50	1
9	54	9
9	56	1
9	63	9
9	64	1
9	100	1
9	121	1

FAQ

What is the Greatest Common Divisor of 9 and 40?

GCF (HCF) of 9 and 40 is 1

How to find the GCF of 9 and 40?

You can find the GCF of 9 and 40 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 9 and 40 is 1.

What prime factors do 9 and 40 share?

9 and 40 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 9/40?

Divide the numerator and the denominator by the GCF 1: 9 ÷ 1 = 9 and 40 ÷ 1 = 40. So 9/40 in lowest terms is 9/40.

Are 9 and 40 coprime?

Yes, 9 and 40 are coprime (relatively prime) because their Greatest Common Factor is 1.