GCF (HCF) of 56 and 64

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 56 and 64?

Answer

GCF (HCF) of 56 and 64 is

Common factors: 1, 2, 4, 8

8 divides both: 56 ÷ 8 = 7, 64 ÷ 8 = 8 — and 7 and 8 share no factor but 1, so no larger number divides both.

56 = 2³ × 7

64 = 2⁶

Prime	56	64	Lowest power
2	2³	2⁶	2³
7	7	—	—

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

GCF = 2³ = 8

More with these numbers

Related Calculations

GCF Table

Number 1	Number 2	GCF
56	49	7
56	50	2
56	51	1
56	52	4
56	53	1
56	54	2
56	55	1
56	56	56
56	57	1
56	58	2
56	59	1
56	60	4
56	61	1
56	62	2
56	63	7
56	64	8
56	65	1
56	66	2
56	67	1
56	68	4
56	69	1
56	70	14
56	71	1
56	72	8
56	73	1
56	74	2
56	75	1
56	76	4
56	77	7
56	78	2

FAQ

What is the Greatest Common Divisor of 56 and 64?

GCF (HCF) of 56 and 64 is 8

How to find the GCF of 56 and 64?

You can find the GCF of 56 and 64 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 56 and 64 is 8.

What prime factors do 56 and 64 share?

The prime factorizations of 56 and 64 have 2 × 2 × 2 in common, and multiplying those shared primes gives 8 — exactly the greatest common factor.

How does the GCF reduce the fraction 56/64?

Divide the numerator and the denominator by the GCF 8: 56 ÷ 8 = 7 and 64 ÷ 8 = 8. So 56/64 in lowest terms is 7/8.

GCF (HCF) of 56 and 64

What is the Greatest Common Divisor of 56 and 64?

More with these numbers

Related Calculations

See Also

GCF Table

FAQ

What is the Greatest Common Divisor of 56 and 64?

How to find the GCF of 56 and 64?

What prime factors do 56 and 64 share?

How does the GCF reduce the fraction 56/64?

See Also

Number 1	Number 2	GCF
56	49	7
56	50	2
56	51	1
56	52	4
56	53	1
56	54	2
56	55	1
56	56	56
56	57	1
56	58	2
56	59	1
56	60	4
56	61	1
56	62	2
56	63	7
56	64	8
56	65	1
56	66	2
56	67	1
56	68	4
56	69	1
56	70	14
56	71	1
56	72	8
56	73	1
56	74	2
56	75	1
56	76	4
56	77	7
56	78	2

Number 1	Number 2	GCF
56	49	7
56	50	2
56	51	1
56	52	4
56	53	1
56	54	2
56	55	1
56	56	56
56	57	1
56	58	2
56	59	1
56	60	4
56	61	1
56	62	2
56	63	7
56	64	8
56	65	1
56	66	2
56	67	1
56	68	4
56	69	1
56	70	14
56	71	1
56	72	8
56	73	1
56	74	2
56	75	1
56	76	4
56	77	7
56	78	2

Number 1	Number 2	GCF
56	49	7
56	50	2
56	51	1
56	52	4
56	53	1
56	54	2
56	55	1
56	56	56
56	57	1
56	58	2
56	59	1
56	60	4
56	61	1
56	62	2
56	63	7
56	64	8
56	65	1
56	66	2
56	67	1
56	68	4
56	69	1
56	70	14
56	71	1
56	72	8
56	73	1
56	74	2
56	75	1
56	76	4
56	77	7
56	78	2