GCF for 16 and 84

What is the Greatest Common Factor of 16 and 84?

Answer: GCF of 16 and 84 is 4

(Four)

Finding GCF for 16 and 84 using all factors (divisors) listing

The first method to find GCF for numbers 16 and 84 is to list all factors for both numbers and pick the highest common one:

All factors of 16: 1, 2, 4, 8, 16

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

So the Greatest Common Factor for 16 and 84 is 4

Finding GCF for 16 and 84 by Prime Factorization

The second method to find GCF for numbers 16 and 84 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 16: 2, 2, 2, 2

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

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

Now we need to multiply them to find GCF: 2 Γ— 2 = 4

Related Calculations

GCF Table

Number 1Number 2GCF
1841
2842
3843
4844
5841
6846
7847
884
9843
10842
11841
1284
13841
148414
15843
1684
17841
18846
1984
20844
2184
22842
23841
2484
25841
26842
27843
2884
29841
3084

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 16 and 84? (The answer is: 4). Select the first number (e.g. '16') 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 Factor of 16 and 84?

GCF of 16 and 84 is 4