GCF (HCF) of 90 and 365

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What is the Greatest Common Divisor of 90 and 365?

Answer

GCF (HCF) of 90 and 365 is
5

Common factors: 1, 5

5 divides both: 90 ÷ 5 = 18, 365 ÷ 5 = 73 — and 18 and 73 share no factor but 1, so no larger number divides both.

90 = 2 × 32 × 5

365 = 5 × 73

Prime90365Lowest power
22——
332——
5555
73—73—

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

GCF = 5

See Also

FAQ

What is the Greatest Common Divisor of 90 and 365?

GCF (HCF) of 90 and 365 is 5

How to find the GCF of 90 and 365?

You can find the GCF of 90 and 365 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 90 and 365 is 5.

What prime factors do 90 and 365 share?

The prime factorizations of 90 and 365 have 5 in common, and multiplying those shared primes gives 5 — exactly the greatest common factor.

How does the GCF reduce the fraction 90/365?

Divide the numerator and the denominator by the GCF 5: 90 ÷ 5 = 18 and 365 ÷ 5 = 73. So 90/365 in lowest terms is 18/73.