GCF (HCF) of 180 and 330

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What is the Greatest Common Divisor of 180 and 330?

Answer

GCF (HCF) of 180 and 330 is
30

Common factors: 1, 2, 3, 5, 6, 10, 15, 30

30 divides both: 180 ÷ 30 = 6, 330 ÷ 30 = 11 — and 6 and 11 share no factor but 1, so no larger number divides both.

180 = 22 × 32 × 5

330 = 2 × 3 × 5 × 11

Prime180330Lowest power
22222
33233
5555
11—11—

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

GCF = 2 × 3 × 5 = 30

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GCF Table

Number 1Number 2GCF
18031545
1803164
1803171
1803186
1803191
18032020
1803213
1803222
1803231
18032436
1803255
1803262
1803273
1803284
1803291
18033030
1803311
1803324
1803339
1803342
1803355
18033612
1803371
1803382
1803393
18034020
1803411
18034218
1803431
1803444

FAQ

What is the Greatest Common Divisor of 180 and 330?

GCF (HCF) of 180 and 330 is 30

How to find the GCF of 180 and 330?

You can find the GCF of 180 and 330 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 180 and 330 is 30.

What prime factors do 180 and 330 share?

The prime factorizations of 180 and 330 have 2 × 3 × 5 in common, and multiplying those shared primes gives 30 — exactly the greatest common factor.

How does the GCF reduce the fraction 180/330?

Divide the numerator and the denominator by the GCF 30: 180 ÷ 30 = 6 and 330 ÷ 30 = 11. So 180/330 in lowest terms is 6/11.

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