GCF (HCF) of 30 and 238

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What is the Greatest Common Divisor of 30 and 238?

Answer

GCF (HCF) of 30 and 238 is
2

Common factors: 1, 2

2 divides both: 30 ÷ 2 = 15, 238 ÷ 2 = 119 — and 15 and 119 share no factor but 1, so no larger number divides both.

30 = 2 × 3 × 5

238 = 2 × 7 × 17

Prime30238Lowest power
2222
33——
55——
7—7—
17—17—

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

GCF = 2

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GCF Table

Number 1Number 2GCF
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
304455
3047010
3048030

FAQ

What is the Greatest Common Divisor of 30 and 238?

GCF (HCF) of 30 and 238 is 2

How to find the GCF of 30 and 238?

You can find the GCF of 30 and 238 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 30 and 238 is 2.

What prime factors do 30 and 238 share?

The prime factorizations of 30 and 238 have 2 in common, and multiplying those shared primes gives 2 — exactly the greatest common factor.

How does the GCF reduce the fraction 30/238?

Divide the numerator and the denominator by the GCF 2: 30 ÷ 2 = 15 and 238 ÷ 2 = 119. So 30/238 in lowest terms is 15/119.

See Also