GCF (HCF) of 30 and 305

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Greatest Common Factor of
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What is the Greatest Common Divisor of 30 and 305?

Answer

GCF (HCF) of 30 and 305 is
5

Common factors: 1, 5

5 divides both: 30 ÷ 5 = 6, 305 ÷ 5 = 61 — and 6 and 61 share no factor but 1, so no larger number divides both.

30 = 2 × 3 × 5

305 = 5 × 61

Prime30305Lowest power
22——
33——
5555
61—61—

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

GCF = 5

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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 305?

GCF (HCF) of 30 and 305 is 5

How to find the GCF of 30 and 305?

You can find the GCF of 30 and 305 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 30 and 305 is 5.

What prime factors do 30 and 305 share?

The prime factorizations of 30 and 305 have 5 in common, and multiplying those shared primes gives 5 — exactly the greatest common factor.

How does the GCF reduce the fraction 30/305?

Divide the numerator and the denominator by the GCF 5: 30 ÷ 5 = 6 and 305 ÷ 5 = 61. So 30/305 in lowest terms is 6/61.

See Also