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GCF of 108 and 96 (Greatest Common Factor)

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 108 and 96?

Answer

GCF of 108 and 96 is

(Twelve)

Finding GCF for 108 and 96 using all factors (divisors) listing

The first method to find GCF for numbers 108 and 96 is to list all factors for both numbers and pick the highest common one:

All factors of 108: 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

All factors of 96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

So the Greatest Common Factor for 108 and 96 is 12

Finding GCF for 108 and 96 by Prime Factorization

The second method to find GCF for numbers 108 and 96 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 108: 2, 2, 3, 3, 3

All Prime Factors of 96: 2, 2, 2, 2, 2, 3

As we can see there are Prime Factors common to both numbers: 2, 2, 3

Now we need to multiply them to find GCF: 2 × 2 × 3 = 12

Found an error in the calculation or the information?

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

About "Greatest Common Factor" Calculator

This calculator will help you find the greatest common factor (GCF) of two numbers. For example, it can help you find out what is the Greatest Common Divisor of 108 and 96? (The answer is: 12). Select the first number (e.g. '108') and the second number (e.g. '96'). After that hit the 'Calculate' button.

Greatest Common Factor (GCF) also known as the Greatest Common Divisor (GCD) or Highest Common Factor (HCF) - it is the largest positive integer that divides each of the integers with zero remainder.

"Greatest Common Factor" Calculator

FAQ

What is the Greatest Common Divisor of 108 and 96?

GCF 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 of 108 and 96 (Greatest Common Factor)

What is the Greatest Common Divisor of 108 and 96?

Finding GCF for 108 and 96 using all factors (divisors) listing

Finding GCF for 108 and 96 by Prime Factorization

Related Calculations

See Also

GCF Table

About "Greatest Common Factor" Calculator

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