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GCF of 108 and 96 (Greatest Common Factor)

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest Common Divisor of 108 and 96?

Answer

GCF of 108 and 96 is 12

(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

See Also

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What is the GCF of 108 and 96. The GCF of 108 and 96 is 12 — the biggest number that can divide both integers. Step-by-step GCF (GCD) calculation by factoring.
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GCF Table

Number 1Number 2GCF
1088127
108822
108831
1088412
108851
108862
108873
108884
108891
1089018
108911
108924
108933
108942
108951
1089612
108971
108982
108999
1081004
1081011
1081026
1081031
1081044
1081053
1081062
1081071
108108108
1081091
1081102

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

Greatest Common Factor of

and