GCF for 8 and 16

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest Common Divisor of 8 and 16?

Answer

GCF of 8 and 16 is 8

(Eight)

Finding GCF for 8 and 16 using all factors (divisors) listing

The first method to find GCF for numbers 8 and 16 is to list all factors for both numbers and pick the highest common one:

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

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

So the Greatest Common Factor for 8 and 16 is 8

Finding GCF for 8 and 16 by Prime Factorization

The second method to find GCF for numbers 8 and 16 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 8: 2, 2, 2

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

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

Now we need to multiply them to find GCF: 2 × 2 × 2 = 8

Related Calculations

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 8 and 16? (The answer is: 8). Select the first number (e.g. '8') 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 1 Number 2 GCF
1 16 1
2 16 2
3 16 1
4 16 4
5 16 1
6 16 2
7 16 1
8 16 8
9 16 1
10 16 2
11 16 1
12 16 4
13 16 1
14 16 2
15 16 1
16 16 16
17 16 1
18 16 2
19 16 1
20 16 4
21 16 1
22 16 2
23 16 1
24 16 8
25 16 1
26 16 2
27 16 1
28 16 4
29 16 1
30 16 2

FAQ

What is the Greatest Common Divisor of 8 and 16?
GCF of 8 and 16 is 8

How to find the GCF of 8 and 16?
You can find the GCF of 8 and 16 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 8 and 16 is 8.

See Also