GCF for 30 and 84

What is the Greatest common Divisor of 30 and 84?

Answer: GCF of 30 and 84 is 6

(Six)

Finding GCF for 30 and 84 using all factors (divisors) listing

The first method to find GCF for numbers 30 and 84 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 84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

So the Greatest Common Factor for 30 and 84 is 6

Finding GCF for 30 and 84 by Prime Factorization

The second method to find GCF for numbers 30 and 84 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 84: 2, 2, 3, 7

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

GCF Table

Number 1Number 2GCF
15843
1684
17841
1884
19841
20844
2184
22842
23841
2484
25841
26842
27843
2884
29841
3084
31841
3284
33843
34842
3584
3684
37841
38842
39843
4084
41841
4284
43841
4484

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 84? (The answer is: 6). Select the first number (e.g. '30') and the second number (e.g. '84'). 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 Divisor of 30 and 84?

GCF of 30 and 84 is 6