GCF (HCF) of 56 and 84

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 56 and 84?

Answer

GCF (HCF) of 56 and 84 is

Common factors: 1, 2, 4, 7, 14, 28

28 divides both: 56 ÷ 28 = 2, 84 ÷ 28 = 3 — and 2 and 3 share no factor but 1, so no larger number divides both.

56 = 2³ × 7

84 = 2² × 3 × 7

Prime	56	84	Lowest power
2	2³	2²	2²
3	—	3	—
7	7	7	7

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

GCF = 2² × 7 = 28

More with these numbers

Related Calculations

GCF Table

Number 1	Number 2	GCF
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
56	79	1
56	80	8
56	81	1
56	82	2
56	83	1
56	84	28
56	85	1
56	86	2
56	87	1
56	88	8
56	89	1
56	90	2
56	91	7
56	92	4
56	93	1
56	94	2
56	95	1
56	96	8
56	97	1
56	98	14

FAQ

What is the Greatest Common Divisor of 56 and 84?

GCF (HCF) of 56 and 84 is 28

How to find the GCF of 56 and 84?

You can find the GCF of 56 and 84 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 56 and 84 is 28.

What prime factors do 56 and 84 share?

The prime factorizations of 56 and 84 have 2 × 2 × 7 in common, and multiplying those shared primes gives 28 — exactly the greatest common factor.

How does the GCF reduce the fraction 56/84?

Divide the numerator and the denominator by the GCF 28: 56 ÷ 28 = 2 and 84 ÷ 28 = 3. So 56/84 in lowest terms is 2/3.

GCF (HCF) of 56 and 84

What is the Greatest Common Divisor of 56 and 84?

More with these numbers

Related Calculations

See Also

GCF Table

FAQ

What is the Greatest Common Divisor of 56 and 84?

How to find the GCF of 56 and 84?

What prime factors do 56 and 84 share?

How does the GCF reduce the fraction 56/84?

See Also

Number 1	Number 2	GCF
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
56	79	1
56	80	8
56	81	1
56	82	2
56	83	1
56	84	28
56	85	1
56	86	2
56	87	1
56	88	8
56	89	1
56	90	2
56	91	7
56	92	4
56	93	1
56	94	2
56	95	1
56	96	8
56	97	1
56	98	14

Number 1	Number 2	GCF
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
56	79	1
56	80	8
56	81	1
56	82	2
56	83	1
56	84	28
56	85	1
56	86	2
56	87	1
56	88	8
56	89	1
56	90	2
56	91	7
56	92	4
56	93	1
56	94	2
56	95	1
56	96	8
56	97	1
56	98	14

Number 1	Number 2	GCF
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
56	79	1
56	80	8
56	81	1
56	82	2
56	83	1
56	84	28
56	85	1
56	86	2
56	87	1
56	88	8
56	89	1
56	90	2
56	91	7
56	92	4
56	93	1
56	94	2
56	95	1
56	96	8
56	97	1
56	98	14