GCF (HCF) of 90 and 110

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What is the Greatest Common Divisor of 90 and 110?

Answer

GCF (HCF) of 90 and 110 is
10

Common factors: 1, 2, 5, 10

10 divides both: 90 ÷ 10 = 9, 110 ÷ 10 = 11 — and 9 and 11 share no factor but 1, so no larger number divides both.

90 = 2 × 32 × 5

110 = 2 × 5 × 11

Prime90110Lowest power
2222
332——
5555
11—11—

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

GCF = 2 × 5 = 10

See Also

FAQ

What is the Greatest Common Divisor of 90 and 110?

GCF (HCF) of 90 and 110 is 10

How to find the GCF of 90 and 110?

You can find the GCF of 90 and 110 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 90 and 110 is 10.

What prime factors do 90 and 110 share?

The prime factorizations of 90 and 110 have 2 × 5 in common, and multiplying those shared primes gives 10 — exactly the greatest common factor.

How does the GCF reduce the fraction 90/110?

Divide the numerator and the denominator by the GCF 10: 90 ÷ 10 = 9 and 110 ÷ 10 = 11. So 90/110 in lowest terms is 9/11.