GCF for 96 and 112

What is the Greatest common Divisor of 96 and 112?

Answer: GCF of 96 and 112 is 16

(Sixteen)

Finding GCF for 96 and 112 using all factors (divisors) listing

The first method to find GCF for numbers 96 and 112 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 112: 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

So the Greatest Common Factor for 96 and 112 is 16

Finding GCF for 96 and 112 by Prime Factorization

The second method to find GCF for numbers 96 and 112 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 112: 2, 2, 2, 2, 7

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 96 and 112? (The answer is: 16). Select the first number (e.g. '96') and the second number (e.g. '112'). 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
811121
821122
831121
84112
851121
861122
871121
881128
891121
901122
911127
921124
931121
941122
951121
96112
971121
9811214
991121
1001124
1011121
1021122
1031121
1041128
1051127
1061122
1071121
1081124
1091121
1101122

FAQ

What is the Greatest common Divisor of 96 and 112?

GCF of 96 and 112 is 16