GCF (HCF) of 85 and 90

"Greatest Common Factor" Calculator
Greatest Common Factor of
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What is the Greatest Common Divisor of 85 and 90?

Answer

GCF (HCF) of 85 and 90 is
5

Common factors: 1, 5

5 divides both: 85 ÷ 5 = 17, 90 ÷ 5 = 18 — and 17 and 18 share no factor but 1, so no larger number divides both.

85 = 5 × 17

90 = 2 × 32 × 5

Prime8590Lowest power
2—2—
3—32—
5555
1717——

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

GCF = 5

See Also

GCF Table

Number 1Number 2GCF
85755
85761
85771
85781
85791
85805
85811
85821
85831
85841
858585
85861
85871
85881
85891
85905
85911
85921
85931
85941
85955
85961
85971
85981
85991
851005
851011
8510217
851031
851041

FAQ

What is the Greatest Common Divisor of 85 and 90?

GCF (HCF) of 85 and 90 is 5

How to find the GCF of 85 and 90?

You can find the GCF of 85 and 90 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 85 and 90 is 5.

What prime factors do 85 and 90 share?

The prime factorizations of 85 and 90 have 5 in common, and multiplying those shared primes gives 5 — exactly the greatest common factor.

How does the GCF reduce the fraction 85/90?

Divide the numerator and the denominator by the GCF 5: 85 ÷ 5 = 17 and 90 ÷ 5 = 18. So 85/90 in lowest terms is 17/18.