GCF (HCF) of 90 and 395

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What is the Greatest Common Divisor of 90 and 395?

Answer

GCF (HCF) of 90 and 395 is
5

Common factors: 1, 5

5 divides both: 90 ÷ 5 = 18, 395 ÷ 5 = 79 — and 18 and 79 share no factor but 1, so no larger number divides both.

90 = 2 × 32 × 5

395 = 5 × 79

Prime90395Lowest power
22——
332——
5555
79—79—

— = 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 395?

GCF (HCF) of 90 and 395 is 5

How to find the GCF of 90 and 395?

You can find the GCF of 90 and 395 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 90 and 395 is 5.

What prime factors do 90 and 395 share?

The prime factorizations of 90 and 395 have 5 in common, and multiplying those shared primes gives 5 — exactly the greatest common factor.

How does the GCF reduce the fraction 90/395?

Divide the numerator and the denominator by the GCF 5: 90 ÷ 5 = 18 and 395 ÷ 5 = 79. So 90/395 in lowest terms is 18/79.