GCF for 128 and 256

What is the Greatest common Divisor of 128 and 256?

Answer: GCF of 128 and 256 is 128

(One hundred twenty-eight)

Finding GCF for 128 and 256 using all factors (divisors) listing

The first method to find GCF for numbers 128 and 256 is to list all factors for both numbers and pick the highest common one:

All factors of 128: 1, 2, 4, 8, 16, 32, 64, 128

All factors of 256: 1, 2, 4, 8, 16, 32, 64, 128, 256

So the Greatest Common Factor for 128 and 256 is 128

Finding GCF for 128 and 256 by Prime Factorization

The second method to find GCF for numbers 128 and 256 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 128: 2, 2, 2, 2, 2, 2, 2

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, 2, 2

Now we need to multiply them to find GCF: 2 × 2 × 2 × 2 × 2 × 2 × 2 = 128

See Also

GCF Table

Number 1Number 2GCF
1132561
1142562
1152561
1162564
1172561
1182562
1192561
1202568
1212561
1222562
1232561
1242564
1252561
1262562
1272561
128256
1292561
1302562
1312561
1322564
1332561
1342562
1352561
1362568
1372561
1382562
1392561
1402564
1412561
1422562

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 128 and 256? (The answer is: 128). Select the first number (e.g. '128') 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 128 and 256?

GCF of 128 and 256 is 128