GCF for 96 and 128

What is the Greatest common Divisor of 96 and 128?

Answer: GCF of 96 and 128 is 32

(Thirty-two)

Finding GCF for 96 and 128 using all factors (divisors) listing

The first method to find GCF for numbers 96 and 128 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 128: 1, 2, 4, 8, 16, 32, 64, 128

So the Greatest Common Factor for 96 and 128 is 32

Finding GCF for 96 and 128 by Prime Factorization

The second method to find GCF for numbers 96 and 128 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 128: 2, 2, 2, 2, 2, 2, 2

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

Now we need to multiply them to find GCF: 2 × 2 × 2 × 2 × 2 = 32

Related Calculations

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 128? (The answer is: 32). Select the first number (e.g. '96') and the second number (e.g. '128'). 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
811281
821282
831281
84128
851281
861282
871281
881288
891281
901282
911281
921284
931281
941282
951281
96128
971281
981282
991281
1001284
1011281
1021282
1031281
1041288
1051281
1061282
1071281
1081284
1091281
1101282

FAQ

What is the Greatest common Divisor of 96 and 128?

GCF of 96 and 128 is 32