GCF for 112 and 128

What is the Greatest common Divisor of 112 and 128?

Answer: GCF of 112 and 128 is 16

(Sixteen)

Finding GCF for 112 and 128 using all factors (divisors) listing

The first method to find GCF for numbers 112 and 128 is to list all factors for both numbers and pick the highest common one:

All factors of 112: 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

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

So the Greatest Common Factor for 112 and 128 is 16

Finding GCF for 112 and 128 by Prime Factorization

The second method to find GCF for numbers 112 and 128 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 112: 2, 2, 2, 2, 7

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

Now we need to multiply them to find GCF: 2 × 2 × 2 × 2 = 16

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 112 and 128? (The answer is: 16). Select the first number (e.g. '112') 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
971281
981282
991281
1001284
1011281
1021282
1031281
1041288
1051281
1061282
1071281
1081284
1091281
1101282
1111281
112128
1131281
1141282
1151281
1161284
1171281
1181282
1191281
1201288
1211281
1221282
1231281
1241284
1251281
1261282

FAQ

What is the Greatest common Divisor of 112 and 128?

GCF of 112 and 128 is 16