GCF for 30 and 75

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest common Divisor of 30 and 75?

Answer: GCF of 30 and 75 is 15

(Fifteen)

Finding GCF for 30 and 75 using all factors (divisors) listing

The first method to find GCF for numbers 30 and 75 is to list all factors for both numbers and pick the highest common one:

All factors of 30: 1, 2, 3, 5, 6, 10, 15, 30

All factors of 75: 1, 3, 5, 15, 25, 75

So the Greatest Common Factor for 30 and 75 is 15

Finding GCF for 30 and 75 by Prime Factorization

The second method to find GCF for numbers 30 and 75 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 30: 2, 3, 5

All Prime Factors of 75: 3, 5, 5

As we can see there are Prime Factors common to both numbers: 3, 5

Now we need to multiply them to find GCF: 3 × 5 = 15

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 30 and 75? (The answer is: 15). Select the first number (e.g. '30') 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

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

GCF Table

Number 1Number 2GCF
157515
16751
17751
18753
19751
20755
21753
22751
23751
24753
257525
26751
27753
28751
29751
307515
31751
32751
33753
34751
35755
36753
37751
38751
39753
40755
41751
42753
43751
44751

FAQ

What is the Greatest common Divisor of 30 and 75?

GCF of 30 and 75 is 15

See Also