GCF for 32 and 48

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest common Divisor of 32 and 48?

Answer: GCF of 32 and 48 is 16

(Sixteen)

Finding GCF for 32 and 48 using all factors (divisors) listing

The first method to find GCF for numbers 32 and 48 is to list all factors for both numbers and pick the highest common one:

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

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

So the Greatest Common Factor for 32 and 48 is 16

Finding GCF for 32 and 48 by Prime Factorization

The second method to find GCF for numbers 32 and 48 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 32: 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

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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 32 and 48? (The answer is: 16). Select the first number (e.g. '32') 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
17481
18486
19481
20484
21483
22482
23481
244824
25481
26482
27483
28484
29481
30486
31481
324816
33483
34482
35481
364812
37481
38482
39483
40488
41481
42486
43481
44484
45483
46482

FAQ

What is the Greatest common Divisor of 32 and 48?

GCF of 32 and 48 is 16

See Also