GCF for 96 and 108

What is the Greatest common Divisor of 96 and 108?

Answer: GCF of 96 and 108 is 12

(Twelve)

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

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

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

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

So the Greatest Common Factor for 96 and 108 is 12

Finding GCF for 96 and 108 by Prime Factorization

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

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

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

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 96 and 108? (The answer is: 12). Select the first number (e.g. '96') and the second number (e.g. '108'). 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

GCF Table

Number 1Number 2GCF
81108
821082
831081
84108
851081
861082
871083
881084
891081
90108
911081
921084
931083
941082
951081
96108
971081
981082
991089
1001084
1011081
1021086
1031081
1041084
1051083
1061082
1071081
108108108
1091081
1101082

FAQ

What is the Greatest common Divisor of 96 and 108?

GCF of 96 and 108 is 12