GCF (HCF) of 30 and 330

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What is the Greatest Common Divisor of 30 and 330?

Answer

GCF (HCF) of 30 and 330 is
30

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

30 divides 330 (330 ÷ 30 = 11), so the GCF is the smaller number itself.

30 = 2 × 3 × 5

330 = 2 × 3 × 5 × 11

Prime30330Lowest power
2222
3333
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
3010515
3011010
301155
3012030
3013010
3013515
3015030
3016515
3017010
3018030
3019515
3021030
302355
302382
3029010
303055
3033030
3034010
3035010
3036030
3037515
3040515
304155
3043515
3044010
304455
3047010
3048030
304855
3049515

FAQ

What is the Greatest Common Divisor of 30 and 330?

GCF (HCF) of 30 and 330 is 30

How to find the GCF of 30 and 330?

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

What prime factors do 30 and 330 share?

The prime factorizations of 30 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 30/330?

Divide the numerator and the denominator by the GCF 30: 30 ÷ 30 = 1 and 330 ÷ 30 = 11. So 30/330 in lowest terms is 1/11.

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