GCF of 64 and 48 (Greatest Common Factor)

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest Common Divisor of 64 and 48?

Answer

GCF of 64 and 48 is 16

(Sixteen)

Finding GCF for 64 and 48 using all factors (divisors) listing

The first method to find GCF for numbers 64 and 48 is to list all factors for both numbers and pick the highest common one:

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

All factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

So the Greatest Common Factor for 64 and 48 is 16

Finding GCF for 64 and 48 by Prime Factorization

The second method to find GCF for numbers 64 and 48 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 64: 2, 2, 2, 2, 2, 2

All Prime Factors of 48: 2, 2, 2, 2, 3

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

Related Calculations

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 64 and 48? (The answer is: 16). Select the first number (e.g. '64') and the second number (e.g. '48'). 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.

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

GCF Table

Number 1Number 2GCF
64331
64342
64351
64364
64371
64382
64391
64408
64411
64422
64431
64444
64451
64462
64471
644816
64491
64502
64511
64524
64531
64542
64551
64568
64571
64582
64591
64604
64611
64622

FAQ

What is the Greatest Common Divisor of 64 and 48?

GCF of 64 and 48 is 16

How to find the GCF of 64 and 48?

You can find the GCF of 64 and 48 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 64 and 48 is 16.

See Also