GCF (HCF) of 9 and 25

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What is the Greatest Common Divisor of 9 and 25?

Answer

GCF (HCF) of 9 and 25 is
1

Common factors: 1

Only 1 divides both: 9 and 25 share no prime factor.

Such numbers are called coprime (relatively prime); their LCM is just the product: 9 × 25 = 225.

9 = 32

25 = 52

Prime925Lowest power
332——
5—52—

— = 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 9 and 25?

GCF (HCF) of 9 and 25 is 1

How to find the GCF of 9 and 25?

You can find the GCF of 9 and 25 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 9 and 25 is 1.

What prime factors do 9 and 25 share?

9 and 25 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 9/25?

Divide the numerator and the denominator by the GCF 1: 9 ÷ 1 = 9 and 25 ÷ 1 = 25. So 9/25 in lowest terms is 9/25.

Are 9 and 25 coprime?

Yes, 9 and 25 are coprime (relatively prime) because their Greatest Common Factor is 1.