GCF (HCF) of 56 and 60

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 56 and 60?

Answer

GCF (HCF) of 56 and 60 is

Common factors: 1, 2, 4

4 divides both: 56 ÷ 4 = 14, 60 ÷ 4 = 15 — and 14 and 15 share no factor but 1, so no larger number divides both.

56 = 2³ × 7

60 = 2² × 3 × 5

Prime	56	60	Lowest power
2	2³	2²	2²
3	—	3	—
5	—	5	—
7	7	—	—

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

GCF = 2² = 4

More with these numbers

Related Calculations

GCF Table

Number 1	Number 2	GCF
56	45	1
56	46	2
56	47	1
56	48	8
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

FAQ

What is the Greatest Common Divisor of 56 and 60?

GCF (HCF) of 56 and 60 is 4

How to find the GCF of 56 and 60?

You can find the GCF of 56 and 60 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 56 and 60 is 4.

What prime factors do 56 and 60 share?

The prime factorizations of 56 and 60 have 2 × 2 in common, and multiplying those shared primes gives 4 — exactly the greatest common factor.

How does the GCF reduce the fraction 56/60?

Divide the numerator and the denominator by the GCF 4: 56 ÷ 4 = 14 and 60 ÷ 4 = 15. So 56/60 in lowest terms is 14/15.

GCF (HCF) of 56 and 60

What is the Greatest Common Divisor of 56 and 60?

More with these numbers

Related Calculations

See Also

GCF Table

FAQ

What is the Greatest Common Divisor of 56 and 60?

How to find the GCF of 56 and 60?

What prime factors do 56 and 60 share?

How does the GCF reduce the fraction 56/60?

See Also

Number 1	Number 2	GCF
56	45	1
56	46	2
56	47	1
56	48	8
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

Number 1	Number 2	GCF
56	45	1
56	46	2
56	47	1
56	48	8
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

Number 1	Number 2	GCF
56	45	1
56	46	2
56	47	1
56	48	8
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