GCF (HCF) of 30 and 96

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What is the Greatest Common Divisor of 30 and 96?

Answer

GCF (HCF) of 30 and 96 is
6

Common factors: 1, 2, 3, 6

6 divides both: 30 ÷ 6 = 5, 96 ÷ 6 = 16 — and 5 and 16 share no factor but 1, so no larger number divides both.

30 = 2 × 3 × 5

96 = 25 × 3

Prime3096Lowest power
22252
3333
55——

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

GCF = 2 × 3 = 6

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GCF Table

Number 1Number 2GCF
304515
30486
30491
305010
30513
30522
30531
30546
30555
30562
30582
306030
307010
307515
308010
30966
3010010
3010515
3011010
301155
3012030
3013010
3013515
3015030
3017010
3019515
302355
302382
3029010
303055

FAQ

What is the Greatest Common Divisor of 30 and 96?

GCF (HCF) of 30 and 96 is 6

How to find the GCF of 30 and 96?

You can find the GCF of 30 and 96 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 30 and 96 is 6.

What prime factors do 30 and 96 share?

The prime factorizations of 30 and 96 have 2 × 3 in common, and multiplying those shared primes gives 6 — exactly the greatest common factor.

How does the GCF reduce the fraction 30/96?

Divide the numerator and the denominator by the GCF 6: 30 ÷ 6 = 5 and 96 ÷ 6 = 16. So 30/96 in lowest terms is 5/16.

See Also