GCF for 30 and 96

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest common Divisor of 30 and 96?

Answer: GCF of 30 and 96 is 6

(Six)

Finding GCF for 30 and 96 using all factors (divisors) listing

The first method to find GCF for numbers 30 and 96 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 96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

So the Greatest Common Factor for 30 and 96 is 6

Finding GCF for 30 and 96 by Prime Factorization

The second method to find GCF for numbers 30 and 96 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 96: 2, 2, 2, 2, 2, 3

As we can see there are Prime Factors common to both numbers: 2, 3

Now we need to multiply them to find GCF: 2 × 3 = 6

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 96? (The answer is: 6). Select the first number (e.g. '30') and the second number (e.g. '96'). 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
15963
169616
17961
18966
19961
20964
21963
22962
23961
249624
25961
26962
27963
28964
29961
30966
31961
329632
33963
34962
35961
369612
37961
38962
39963
40968
41961
42966
43961
44964

FAQ

What is the Greatest common Divisor of 30 and 96?

GCF of 30 and 96 is 6

See Also