GCF (HCF) of 10 and 30

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 10 and 30?

Answer

GCF (HCF) of 10 and 30 is

Common factors: 1, 2, 5, 10

10 divides 30 (30 ÷ 10 = 3), so the GCF is the smaller number itself.

10 = 2 × 5

30 = 2 × 3 × 5

Prime	10	30	Lowest power
2	2	2	2
3	—	3	—
5	5	5	5

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

GCF = 2 × 5 = 10

More with these numbers

Related Calculations

GCF Table

Number 1	Number 2	GCF
10	13	1
10	14	2
10	15	5
10	16	2
10	18	2
10	20	10
10	21	1
10	22	2
10	23	1
10	24	2
10	25	5
10	26	2
10	27	1
10	28	2
10	29	1
10	30	10
10	32	2
10	33	1
10	34	2
10	35	5
10	36	2
10	37	1
10	38	2
10	39	1
10	40	10
10	43	1
10	44	2
10	45	5
10	50	10
10	51	1

FAQ

What is the Greatest Common Divisor of 10 and 30?

GCF (HCF) of 10 and 30 is 10

How to find the GCF of 10 and 30?

You can find the GCF of 10 and 30 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 10 and 30 is 10.

What prime factors do 10 and 30 share?

The prime factorizations of 10 and 30 have 2 × 5 in common, and multiplying those shared primes gives 10 — exactly the greatest common factor.

How does the GCF reduce the fraction 10/30?

Divide the numerator and the denominator by the GCF 10: 10 ÷ 10 = 1 and 30 ÷ 10 = 3. So 10/30 in lowest terms is 1/3.

GCF (HCF) of 10 and 30

What is the Greatest Common Divisor of 10 and 30?

More with these numbers

Related Calculations

See Also

GCF Table

FAQ

What is the Greatest Common Divisor of 10 and 30?

How to find the GCF of 10 and 30?

What prime factors do 10 and 30 share?

How does the GCF reduce the fraction 10/30?

See Also

Number 1	Number 2	GCF
10	13	1
10	14	2
10	15	5
10	16	2
10	18	2
10	20	10
10	21	1
10	22	2
10	23	1
10	24	2
10	25	5
10	26	2
10	27	1
10	28	2
10	29	1
10	30	10
10	32	2
10	33	1
10	34	2
10	35	5
10	36	2
10	37	1
10	38	2
10	39	1
10	40	10
10	43	1
10	44	2
10	45	5
10	50	10
10	51	1

Number 1	Number 2	GCF
10	13	1
10	14	2
10	15	5
10	16	2
10	18	2
10	20	10
10	21	1
10	22	2
10	23	1
10	24	2
10	25	5
10	26	2
10	27	1
10	28	2
10	29	1
10	30	10
10	32	2
10	33	1
10	34	2
10	35	5
10	36	2
10	37	1
10	38	2
10	39	1
10	40	10
10	43	1
10	44	2
10	45	5
10	50	10
10	51	1

Number 1	Number 2	GCF
10	13	1
10	14	2
10	15	5
10	16	2
10	18	2
10	20	10
10	21	1
10	22	2
10	23	1
10	24	2
10	25	5
10	26	2
10	27	1
10	28	2
10	29	1
10	30	10
10	32	2
10	33	1
10	34	2
10	35	5
10	36	2
10	37	1
10	38	2
10	39	1
10	40	10
10	43	1
10	44	2
10	45	5
10	50	10
10	51	1