GCF for 96 and 144

What is the Greatest common Divisor of 96 and 144?

Answer: GCF of 96 and 144 is 48

(Forty-eight)

Finding GCF for 96 and 144 using all factors (divisors) listing

The first method to find GCF for numbers 96 and 144 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 144: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

So the Greatest Common Factor for 96 and 144 is 48

Finding GCF for 96 and 144 by Prime Factorization

The second method to find GCF for numbers 96 and 144 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 144: 2, 2, 2, 2, 3, 3

As we can see there are Prime Factors common to both numbers: 2, 2, 2, 2, 3

Now we need to multiply them to find GCF: 2 × 2 × 2 × 2 × 3 = 48

GCF Table

Number 1Number 2GCF
811449
821442
831441
84144
851441
861442
871443
881448
891441
90144
911441
921444
931443
941442
951441
96144
971441
981442
991449
1001444
1011441
1021446
1031441
1041448
1051443
1061442
1071441
108144
1091441
1101442

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 144? (The answer is: 48). Select the first number (e.g. '96') and the second number (e.g. '144'). 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 144?

GCF of 96 and 144 is 48