GCF (HCF) of 90 and 180

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What is the Greatest Common Divisor of 90 and 180?

Answer

GCF (HCF) of 90 and 180 is
90

Common factors: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

90 divides 180 (180 ÷ 90 = 2), so the GCF is the smaller number itself.

90 = 2 × 32 × 5

180 = 22 × 32 × 5

Prime90180Lowest power
22222
3323232
5555

GCF = 2 × 32 × 5 = 90

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FAQ

What is the Greatest Common Divisor of 90 and 180?

GCF (HCF) of 90 and 180 is 90

How to find the GCF of 90 and 180?

You can find the GCF of 90 and 180 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 90 and 180 is 90.

What prime factors do 90 and 180 share?

The prime factorizations of 90 and 180 have 2 × 3 × 3 × 5 in common, and multiplying those shared primes gives 90 — exactly the greatest common factor.

How does the GCF reduce the fraction 90/180?

Divide the numerator and the denominator by the GCF 90: 90 ÷ 90 = 1 and 180 ÷ 90 = 2. So 90/180 in lowest terms is 1/2.