GCF (HCF) of 30 and 195

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What is the Greatest Common Divisor of 30 and 195?

Answer

GCF (HCF) of 30 and 195 is
15

Common factors: 1, 3, 5, 15

15 divides both: 30 ÷ 15 = 2, 195 ÷ 15 = 13 — and 2 and 13 share no factor but 1, so no larger number divides both.

30 = 2 × 3 × 5

195 = 3 × 5 × 13

Prime30195Lowest power
22——
3333
5555
13—13—

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

GCF = 3 × 5 = 15

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GCF Table

Number 1Number 2GCF
307010
307515
308010
30966
3010010
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

FAQ

What is the Greatest Common Divisor of 30 and 195?

GCF (HCF) of 30 and 195 is 15

How to find the GCF of 30 and 195?

You can find the GCF of 30 and 195 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 30 and 195 is 15.

What prime factors do 30 and 195 share?

The prime factorizations of 30 and 195 have 3 × 5 in common, and multiplying those shared primes gives 15 — exactly the greatest common factor.

How does the GCF reduce the fraction 30/195?

Divide the numerator and the denominator by the GCF 15: 30 ÷ 15 = 2 and 195 ÷ 15 = 13. So 30/195 in lowest terms is 2/13.

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