GCF for 35 and 84

What is the Greatest common Divisor of 35 and 84?

Answer: GCF of 35 and 84 is 7

(Seven)

Finding GCF for 35 and 84 using all factors (divisors) listing

The first method to find GCF for numbers 35 and 84 is to list all factors for both numbers and pick the highest common one:

All factors of 35: 1, 5, 7, 35

All factors of 84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

So the Greatest Common Factor for 35 and 84 is 7

Finding GCF for 35 and 84 by Prime Factorization

The second method to find GCF for numbers 35 and 84 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 35: 5, 7

All Prime Factors of 84: 2, 2, 3, 7

As we can see there is only one Prime Factor common to both numbers. It is 7

So 7 is the Greatest Common Factor of 35 and 84

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 35 and 84? (The answer is: 7). Select the first number (e.g. '35') 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

GCF Table

Number 1Number 2GCF
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
45843
46842
47841
4884
4984

FAQ

What is the Greatest common Divisor of 35 and 84?

GCF of 35 and 84 is 7