GCF (HCF) of 270 and 180

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What is the Greatest Common Divisor of 270 and 180?

Answer

GCF (HCF) of 270 and 180 is
90

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

90 divides both: 270 ÷ 90 = 3, 180 ÷ 90 = 2 — and 3 and 2 share no factor but 1, so no larger number divides both.

270 = 2 × 33 × 5

180 = 22 × 32 × 5

Prime270180Lowest power
22222
3333232
5555

GCF = 2 × 32 × 5 = 90

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GCF Table

Number 1Number 2GCF
27016515
2701662
2701671
2701686
2701691
27017010
2701719
2701722
2701731
2701746
2701755
2701762
2701773
2701782
2701791
27018090
2701811
2701822
2701833
2701842
2701855
2701866
2701871
2701882
27018927
27019010
2701911
2701926
2701931
2701942

FAQ

What is the Greatest Common Divisor of 270 and 180?

GCF (HCF) of 270 and 180 is 90

How to find the GCF of 270 and 180?

You can find the GCF of 270 and 180 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 270 and 180 is 90.

What prime factors do 270 and 180 share?

The prime factorizations of 270 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 270/180?

Divide the numerator and the denominator by the GCF 90: 270 ÷ 90 = 3 and 180 ÷ 90 = 2. So 270/180 in lowest terms is 3/2.

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