GCF (HCF) of 180 and 450

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What is the Greatest Common Divisor of 180 and 450?

Answer

GCF (HCF) of 180 and 450 is
90

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

90 divides both: 180 ÷ 90 = 2, 450 ÷ 90 = 5 — and 2 and 5 share no factor but 1, so no larger number divides both.

180 = 22 × 32 × 5

450 = 2 × 32 × 52

Prime180450Lowest power
22222
3323232
55525

GCF = 2 × 32 × 5 = 90

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GCF Table

Number 1Number 2GCF
18043515
1804364
1804371
1804386
1804391
18044020
1804419
1804422
1804431
18044412
1804455
1804462
1804473
1804484
1804491
18045090
1804511
1804524
1804533
1804542
1804555
18045612
1804571
1804582
1804599
18046020
1804611
1804626
1804631
1804644

FAQ

What is the Greatest Common Divisor of 180 and 450?

GCF (HCF) of 180 and 450 is 90

How to find the GCF of 180 and 450?

You can find the GCF of 180 and 450 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 180 and 450 is 90.

What prime factors do 180 and 450 share?

The prime factorizations of 180 and 450 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 180/450?

Divide the numerator and the denominator by the GCF 90: 180 ÷ 90 = 2 and 450 ÷ 90 = 5. So 180/450 in lowest terms is 2/5.

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