GCF for 48 and 32

What is the Greatest common Divisor of 48 and 32?

Answer: GCF of 48 and 32 is 16

(Sixteen)

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

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

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

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

So the Greatest Common Factor for 48 and 32 is 16

Finding GCF for 48 and 32 by Prime Factorization

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

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

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

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

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 48 and 32? (The answer is: 16). Select the first number (e.g. '48') 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

GCF Table

Number 1Number 2GCF
33321
34322
35321
36324
37321
38322
39321
40328
41321
42322
43321
44324
45321
46322
47321
4832
49321
50322
51321
52324
53321
54322
55321
56328
57321
58322
59321
60324
61321
62322

FAQ

What is the Greatest common Divisor of 48 and 32?

GCF of 48 and 32 is 16