GCF (HCF) of 10 and 70

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 10 and 70?

Answer

GCF (HCF) of 10 and 70 is

Common factors: 1, 2, 5, 10

10 divides 70 (70 ÷ 10 = 7), so the GCF is the smaller number itself.

10 = 2 × 5

70 = 2 × 5 × 7

Prime	10	70	Lowest power
2	2	2	2
5	5	5	5
7	—	7	—

— = 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	36	2
10	38	2
10	39	1
10	40	10
10	43	1
10	44	2
10	45	5
10	50	10
10	51	1
10	52	2
10	55	5
10	56	2
10	59	1
10	60	10
10	65	5
10	70	10
10	75	5
10	80	10
10	90	10
10	95	5
10	99	1
10	100	10
10	115	5
10	150	10
10	165	5
10	170	10
10	180	10
10	200	10
10	210	10
10	230	10

FAQ

What is the Greatest Common Divisor of 10 and 70?

GCF (HCF) of 10 and 70 is 10

How to find the GCF of 10 and 70?

You can find the GCF of 10 and 70 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 10 and 70 is 10.

What prime factors do 10 and 70 share?

The prime factorizations of 10 and 70 have 2 × 5 in common, and multiplying those shared primes gives 10 — exactly the greatest common factor.

How does the GCF reduce the fraction 10/70?

Divide the numerator and the denominator by the GCF 10: 10 ÷ 10 = 1 and 70 ÷ 10 = 7. So 10/70 in lowest terms is 1/7.

GCF (HCF) of 10 and 70

What is the Greatest Common Divisor of 10 and 70?

More with these numbers

Related Calculations

See Also

GCF Table

FAQ

What is the Greatest Common Divisor of 10 and 70?

How to find the GCF of 10 and 70?

What prime factors do 10 and 70 share?

How does the GCF reduce the fraction 10/70?

See Also

Number 1	Number 2	GCF
10	36	2
10	38	2
10	39	1
10	40	10
10	43	1
10	44	2
10	45	5
10	50	10
10	51	1
10	52	2
10	55	5
10	56	2
10	59	1
10	60	10
10	65	5
10	70	10
10	75	5
10	80	10
10	90	10
10	95	5
10	99	1
10	100	10
10	115	5
10	150	10
10	165	5
10	170	10
10	180	10
10	200	10
10	210	10
10	230	10

Number 1	Number 2	GCF
10	36	2
10	38	2
10	39	1
10	40	10
10	43	1
10	44	2
10	45	5
10	50	10
10	51	1
10	52	2
10	55	5
10	56	2
10	59	1
10	60	10
10	65	5
10	70	10
10	75	5
10	80	10
10	90	10
10	95	5
10	99	1
10	100	10
10	115	5
10	150	10
10	165	5
10	170	10
10	180	10
10	200	10
10	210	10
10	230	10

Number 1	Number 2	GCF
10	36	2
10	38	2
10	39	1
10	40	10
10	43	1
10	44	2
10	45	5
10	50	10
10	51	1
10	52	2
10	55	5
10	56	2
10	59	1
10	60	10
10	65	5
10	70	10
10	75	5
10	80	10
10	90	10
10	95	5
10	99	1
10	100	10
10	115	5
10	150	10
10	165	5
10	170	10
10	180	10
10	200	10
10	210	10
10	230	10