GCF (HCF) of 30 and 60

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What is the Greatest Common Divisor of 30 and 60?

Answer

GCF (HCF) of 30 and 60 is
30

Common factors: 1, 2, 3, 5, 6, 10, 15, 30

30 divides 60 (60 ÷ 30 = 2), so the GCF is the smaller number itself.

30 = 2 × 3 × 5

60 = 22 × 3 × 5

Prime3060Lowest power
22222
3333
5555

GCF = 2 × 3 × 5 = 30

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GCF Table

Number 1Number 2GCF
304010
30426
30431
30442
304515
30486
30491
305010
30513
30522
30531
30546
30555
30562
30582
306030
307010
307515
308010
30966
3010010
3010515
3011010
301155
3012030
3013010
3013515
3015030
3016515
3017010

FAQ

What is the Greatest Common Divisor of 30 and 60?

GCF (HCF) of 30 and 60 is 30

How to find the GCF of 30 and 60?

You can find the GCF of 30 and 60 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 30 and 60 is 30.

What prime factors do 30 and 60 share?

The prime factorizations of 30 and 60 have 2 × 3 × 5 in common, and multiplying those shared primes gives 30 — exactly the greatest common factor.

How does the GCF reduce the fraction 30/60?

Divide the numerator and the denominator by the GCF 30: 30 ÷ 30 = 1 and 60 ÷ 30 = 2. So 30/60 in lowest terms is 1/2.

See Also