GCF for 72 and 128

What is the Greatest common Divisor of 72 and 128?

Answer: GCF of 72 and 128 is 8

(Eight)

Finding GCF for 72 and 128 using all factors (divisors) listing

The first method to find GCF for numbers 72 and 128 is to list all factors for both numbers and pick the highest common one:

All factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

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

So the Greatest Common Factor for 72 and 128 is 8

Finding GCF for 72 and 128 by Prime Factorization

The second method to find GCF for numbers 72 and 128 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 72: 2, 2, 2, 3, 3

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

Now we need to multiply them to find GCF: 2 × 2 × 2 = 8

GCF Table

Number 1Number 2GCF
571281
581282
591281
601284
611281
621282
631281
64128
651281
661282
671281
681284
691281
701282
711281
72128
731281
741282
751281
761284
771281
781282
791281
8012816
811281
821282
831281
84128
851281
861282

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 72 and 128? (The answer is: 8). Select the first number (e.g. '72') 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

FAQ

What is the Greatest common Divisor of 72 and 128?

GCF of 72 and 128 is 8