GCF for 8 and 12

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest common Divisor of 8 and 12?

Answer: GCF of 8 and 12 is 4

(Four)

Finding GCF for 8 and 12 using all factors (divisors) listing

The first method to find GCF for numbers 8 and 12 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 12: 1, 2, 3, 4, 6, 12

So the Greatest Common Factor for 8 and 12 is 4

Finding GCF for 8 and 12 by Prime Factorization

The second method to find GCF for numbers 8 and 12 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 12: 2, 2, 3

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

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

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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 8 and 12? (The answer is: 4). Select the first number (e.g. '8') and the second number (e.g. '12'). 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
1121
2122
3123
4124
5121
6126
7121
8124
9123
10122
11121
121212
13121
14122
15123
16124
17121
18126
19121
20124
21123
22122
23121
241212
25121
26122
27123
28124
29121
30126

FAQ

What is the Greatest common Divisor of 8 and 12?

GCF of 8 and 12 is 4

See Also