GCF for 96 and 256

What is the Greatest common Divisor of 96 and 256?

Answer: GCF of 96 and 256 is 32

(Thirty-two)

Finding GCF for 96 and 256 using all factors (divisors) listing

The first method to find GCF for numbers 96 and 256 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 256: 1, 2, 4, 8, 16, 32, 64, 128, 256

So the Greatest Common Factor for 96 and 256 is 32

Finding GCF for 96 and 256 by Prime Factorization

The second method to find GCF for numbers 96 and 256 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 256: 2, 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

See Also

GCF Table

Number 1Number 2GCF
812561
822562
832561
842564
852561
862562
872561
882568
892561
902562
912561
922564
932561
942562
952561
9625632
972561
982562
992561
1002564
1012561
1022562
1032561
1042568
1052561
1062562
1072561
1082564
1092561
1102562

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 256? (The answer is: 32). Select the first number (e.g. '96') and the second number (e.g. '256'). 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

FAQ

What is the Greatest common Divisor of 96 and 256?

GCF of 96 and 256 is 32