GCF (HCF) of 90 and 185

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What is the Greatest Common Divisor of 90 and 185?

Answer

GCF (HCF) of 90 and 185 is
5

Common factors: 1, 5

5 divides both: 90 ÷ 5 = 18, 185 ÷ 5 = 37 — and 18 and 37 share no factor but 1, so no larger number divides both.

90 = 2 × 32 × 5

185 = 5 × 37

Prime90185Lowest power
22——
332——
5555
37—37—

— = 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 185?

GCF (HCF) of 90 and 185 is 5

How to find the GCF of 90 and 185?

You can find the GCF of 90 and 185 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 90 and 185 is 5.

What prime factors do 90 and 185 share?

The prime factorizations of 90 and 185 have 5 in common, and multiplying those shared primes gives 5 — exactly the greatest common factor.

How does the GCF reduce the fraction 90/185?

Divide the numerator and the denominator by the GCF 5: 90 ÷ 5 = 18 and 185 ÷ 5 = 37. So 90/185 in lowest terms is 18/37.