GCF for 48 and 75

What is the Greatest common Divisor of 48 and 75?

Answer: GCF of 48 and 75 is 3

(Three)

Finding GCF for 48 and 75 using all factors (divisors) listing

The first method to find GCF for numbers 48 and 75 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 75: 1, 3, 5, 15, 25, 75

So the Greatest Common Factor for 48 and 75 is 3

Finding GCF for 48 and 75 by Prime Factorization

The second method to find GCF for numbers 48 and 75 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 75: 3, 5, 5

As we can see there is only one Prime Factor common to both numbers. It is 3

So 3 is the Greatest Common Factor of 48 and 75

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 75? (The answer is: 3). Select the first number (e.g. '48') and the second number (e.g. '75'). 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
33753
34751
3575
36753
37751
38751
39753
40755
41751
42753
43751
44751
4575
46751
47751
4875
49751
5075
51753
52751
53751
54753
5575
56751
57753
58751
59751
6075
61751
62751

FAQ

What is the Greatest common Divisor of 48 and 75?

GCF of 48 and 75 is 3