GCF (HCF) of 6 and 30

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 6 and 30?

Answer

GCF (HCF) of 6 and 30 is

Common factors: 1, 2, 3, 6

6 divides 30 (30 ÷ 6 = 5), so the GCF is the smaller number itself.

6 = 2 × 3

30 = 2 × 3 × 5

Prime	6	30	Lowest power
2	2	2	2
3	3	3	3
5	—	5	—

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

GCF = 2 × 3 = 6

More with these numbers

Related Calculations

GCF Table

Number 1	Number 2	GCF
6	11	1
6	12	6
6	13	1
6	14	2
6	15	3
6	16	2
6	17	1
6	18	6
6	20	2
6	21	3
6	24	6
6	25	1
6	26	2
6	27	3
6	29	1
6	30	6
6	32	2
6	33	3
6	35	1
6	36	6
6	37	1
6	39	3
6	40	2
6	42	6
6	45	3
6	48	6
6	49	1
6	52	2
6	54	6
6	80	2

FAQ

What is the Greatest Common Divisor of 6 and 30?

GCF (HCF) of 6 and 30 is 6

How to find the GCF of 6 and 30?

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

What prime factors do 6 and 30 share?

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

How does the GCF reduce the fraction 6/30?

Divide the numerator and the denominator by the GCF 6: 6 ÷ 6 = 1 and 30 ÷ 6 = 5. So 6/30 in lowest terms is 1/5.

GCF (HCF) of 6 and 30

What is the Greatest Common Divisor of 6 and 30?

More with these numbers

Related Calculations

See Also

GCF Table

FAQ

What is the Greatest Common Divisor of 6 and 30?

How to find the GCF of 6 and 30?

What prime factors do 6 and 30 share?

How does the GCF reduce the fraction 6/30?

See Also

Number 1	Number 2	GCF
6	11	1
6	12	6
6	13	1
6	14	2
6	15	3
6	16	2
6	17	1
6	18	6
6	20	2
6	21	3
6	24	6
6	25	1
6	26	2
6	27	3
6	29	1
6	30	6
6	32	2
6	33	3
6	35	1
6	36	6
6	37	1
6	39	3
6	40	2
6	42	6
6	45	3
6	48	6
6	49	1
6	52	2
6	54	6
6	80	2

Number 1	Number 2	GCF
6	11	1
6	12	6
6	13	1
6	14	2
6	15	3
6	16	2
6	17	1
6	18	6
6	20	2
6	21	3
6	24	6
6	25	1
6	26	2
6	27	3
6	29	1
6	30	6
6	32	2
6	33	3
6	35	1
6	36	6
6	37	1
6	39	3
6	40	2
6	42	6
6	45	3
6	48	6
6	49	1
6	52	2
6	54	6
6	80	2

Number 1	Number 2	GCF
6	11	1
6	12	6
6	13	1
6	14	2
6	15	3
6	16	2
6	17	1
6	18	6
6	20	2
6	21	3
6	24	6
6	25	1
6	26	2
6	27	3
6	29	1
6	30	6
6	32	2
6	33	3
6	35	1
6	36	6
6	37	1
6	39	3
6	40	2
6	42	6
6	45	3
6	48	6
6	49	1
6	52	2
6	54	6
6	80	2