GCF (HCF) of 30 and 170

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What is the Greatest Common Divisor of 30 and 170?

Answer

GCF (HCF) of 30 and 170 is
10

Common factors: 1, 2, 5, 10

10 divides both: 30 ÷ 10 = 3, 170 ÷ 10 = 17 — and 3 and 17 share no factor but 1, so no larger number divides both.

30 = 2 × 3 × 5

170 = 2 × 5 × 17

Prime30170Lowest power
2222
33——
5555
17—17—

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

GCF = 2 × 5 = 10

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GCF Table

Number 1Number 2GCF
30582
306030
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

FAQ

What is the Greatest Common Divisor of 30 and 170?

GCF (HCF) of 30 and 170 is 10

How to find the GCF of 30 and 170?

You can find the GCF of 30 and 170 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 30 and 170 is 10.

What prime factors do 30 and 170 share?

The prime factorizations of 30 and 170 have 2 × 5 in common, and multiplying those shared primes gives 10 — exactly the greatest common factor.

How does the GCF reduce the fraction 30/170?

Divide the numerator and the denominator by the GCF 10: 30 ÷ 10 = 3 and 170 ÷ 10 = 17. So 30/170 in lowest terms is 3/17.

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