GCF for 28 and 32

What is the Greatest Common Factor of 28 and 32?

Answer: GCF of 28 and 32 is 4

(Four)

Finding GCF for 28 and 32 using all factors (divisors) listing

The first method to find GCF for numbers 28 and 32 is to list all factors for both numbers and pick the highest common one:

All factors of 28: 1, 2, 4, 7, 14, 28

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

So the Greatest Common Factor for 28 and 32 is 4

Finding GCF for 28 and 32 by Prime Factorization

The second method to find GCF for numbers 28 and 32 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 28: 2, 2, 7

All Prime Factors of 32: 2, 2, 2, 2, 2

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

Now we need to multiply them to find GCF: 2 Γ— 2 = 4

GCF Table

Number 1Number 2GCF
13321
1432
1532
1632
17321
1832
19321
2032
21321
2232
23321
2432
25321
26322
2732
2832
29321
3032
31321
323232
33321
34322
35321
36324
37321
38322
39321
40328
41321
42322

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 Factor of 28 and 32? (The answer is: 4). Select the first number (e.g. '28') and the second number (e.g. '32'). 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 Factor of 28 and 32?

GCF of 28 and 32 is 4