GCF for 6 and 16

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest Common Divisor of 6 and 16?

Answer

GCF of 6 and 16 is 2

(Two)

Finding GCF for 6 and 16 using all factors (divisors) listing

The first method to find GCF for numbers 6 and 16 is to list all factors for both numbers and pick the highest common one:

All factors of 6: 1, 2, 3, 6

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

So the Greatest Common Factor for 6 and 16 is 2

Finding GCF for 6 and 16 by Prime Factorization

The second method to find GCF for numbers 6 and 16 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 6: 2, 3

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

As we can see there is only one Prime Factor common to both numbers. It is 2

So 2 is the Greatest Common Factor of 6 and 16

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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 6 and 16? (The answer is: 2). Select the first number (e.g. '6') and the second number (e.g. '16'). 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
1161
2162
3161
4164
5161
6162
7161
8168
9161
10162
11161
12164
13161
14162
15161
161616
17161
18162
19161
20164
21161
22162
23161
24168
25161
26162
27161
28164
29161
30162

FAQ

What is the Greatest Common Divisor of 6 and 16?

GCF of 6 and 16 is 2

How to find the GCF of 6 and 16?

You can find the GCF of 6 and 16 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 6 and 16 is 2.

See Also