GCF (HCF) of 30 and 135

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What is the Greatest Common Divisor of 30 and 135?

Answer

GCF (HCF) of 30 and 135 is
15

Common factors: 1, 3, 5, 15

15 divides both: 30 ÷ 15 = 2, 135 ÷ 15 = 9 — and 2 and 9 share no factor but 1, so no larger number divides both.

30 = 2 × 3 × 5

135 = 33 × 5

Prime30135Lowest power
22——
33333
5555

— = 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
30546
30555
30562
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

FAQ

What is the Greatest Common Divisor of 30 and 135?

GCF (HCF) of 30 and 135 is 15

How to find the GCF of 30 and 135?

You can find the GCF of 30 and 135 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 30 and 135 is 15.

What prime factors do 30 and 135 share?

The prime factorizations of 30 and 135 have 3 × 5 in common, and multiplying those shared primes gives 15 — exactly the greatest common factor.

How does the GCF reduce the fraction 30/135?

Divide the numerator and the denominator by the GCF 15: 30 ÷ 15 = 2 and 135 ÷ 15 = 9. So 30/135 in lowest terms is 2/9.

See Also