GCF (HCF) of 108 and 96

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 108 and 96?

Answer

GCF (HCF) of 108 and 96 is

Common factors: 1, 2, 3, 4, 6, 12

12 divides both: 108 ÷ 12 = 9, 96 ÷ 12 = 8 — and 9 and 8 share no factor but 1, so no larger number divides both.

108 = 2² × 3³

96 = 2⁵ × 3

Prime	108	96	Lowest power
2	2²	2⁵	2²
3	3³	3	3

GCF = 2² × 3 = 12

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Related Calculations

GCF Table

Number 1	Number 2	GCF
108	81	27
108	82	2
108	83	1
108	84	12
108	85	1
108	86	2
108	87	3
108	88	4
108	89	1
108	90	18
108	91	1
108	92	4
108	93	3
108	94	2
108	95	1
108	96	12
108	97	1
108	98	2
108	99	9
108	100	4
108	101	1
108	102	6
108	103	1
108	104	4
108	105	3
108	106	2
108	107	1
108	108	108
108	109	1
108	110	2

FAQ

What is the Greatest Common Divisor of 108 and 96?

GCF (HCF) of 108 and 96 is 12

How to find the GCF of 108 and 96?

You can find the GCF of 108 and 96 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 108 and 96 is 12.

What prime factors do 108 and 96 share?

The prime factorizations of 108 and 96 have 2 × 2 × 3 in common, and multiplying those shared primes gives 12 — exactly the greatest common factor.

How does the GCF reduce the fraction 108/96?

Divide the numerator and the denominator by the GCF 12: 108 ÷ 12 = 9 and 96 ÷ 12 = 8. So 108/96 in lowest terms is 9/8.

GCF (HCF) of 108 and 96

What is the Greatest Common Divisor of 108 and 96?

More with these numbers

Related Calculations

See Also

GCF Table

FAQ

What is the Greatest Common Divisor of 108 and 96?

How to find the GCF of 108 and 96?

What prime factors do 108 and 96 share?

How does the GCF reduce the fraction 108/96?

See Also

Number 1	Number 2	GCF
108	81	27
108	82	2
108	83	1
108	84	12
108	85	1
108	86	2
108	87	3
108	88	4
108	89	1
108	90	18
108	91	1
108	92	4
108	93	3
108	94	2
108	95	1
108	96	12
108	97	1
108	98	2
108	99	9
108	100	4
108	101	1
108	102	6
108	103	1
108	104	4
108	105	3
108	106	2
108	107	1
108	108	108
108	109	1
108	110	2

Number 1	Number 2	GCF
108	81	27
108	82	2
108	83	1
108	84	12
108	85	1
108	86	2
108	87	3
108	88	4
108	89	1
108	90	18
108	91	1
108	92	4
108	93	3
108	94	2
108	95	1
108	96	12
108	97	1
108	98	2
108	99	9
108	100	4
108	101	1
108	102	6
108	103	1
108	104	4
108	105	3
108	106	2
108	107	1
108	108	108
108	109	1
108	110	2

Number 1	Number 2	GCF
108	81	27
108	82	2
108	83	1
108	84	12
108	85	1
108	86	2
108	87	3
108	88	4
108	89	1
108	90	18
108	91	1
108	92	4
108	93	3
108	94	2
108	95	1
108	96	12
108	97	1
108	98	2
108	99	9
108	100	4
108	101	1
108	102	6
108	103	1
108	104	4
108	105	3
108	106	2
108	107	1
108	108	108
108	109	1
108	110	2