GCF for 30 and 96

What is the Greatest Common Factor 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

Related Calculations

GCF Table

Number 1Number 2GCF
15963
1696
17961
1896
19961
20964
21963
22962
23961
2496
25961
26962
27963
28964
29961
30966
31961
3296
33963
34962
35961
3696
37961
38962
39963
4096
41961
4296
43961
44964

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 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

FAQ

What is the Greatest Common Factor of 30 and 96?

GCF of 30 and 96 is 6