GCF (HCF) of 8 and 45

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What is the Greatest Common Divisor of 8 and 45?

Answer

GCF (HCF) of 8 and 45 is
1

Common factors: 1

Only 1 divides both: 8 and 45 share no prime factor.

Such numbers are called coprime (relatively prime); their LCM is just the product: 8 × 45 = 360.

8 = 23

45 = 32 × 5

Prime845Lowest power
223——
3—32—
5—5—

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

GCF = 1

See Also

FAQ

What is the Greatest Common Divisor of 8 and 45?

GCF (HCF) of 8 and 45 is 1

How to find the GCF of 8 and 45?

You can find the GCF of 8 and 45 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 8 and 45 is 1.

What prime factors do 8 and 45 share?

8 and 45 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 8/45?

Divide the numerator and the denominator by the GCF 1: 8 ÷ 1 = 8 and 45 ÷ 1 = 45. So 8/45 in lowest terms is 8/45.

Are 8 and 45 coprime?

Yes, 8 and 45 are coprime (relatively prime) because their Greatest Common Factor is 1.