GCF for 12 and 14

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest common Divisor of 12 and 14?

Answer: GCF of 12 and 14 is 2

(Two)

Finding GCF for 12 and 14 using all factors (divisors) listing

The first method to find GCF for numbers 12 and 14 is to list all factors for both numbers and pick the highest common one:

All factors of 12: 1, 2, 3, 4, 6, 12

All factors of 14: 1, 2, 7, 14

So the Greatest Common Factor for 12 and 14 is 2

Finding GCF for 12 and 14 by Prime Factorization

The second method to find GCF for numbers 12 and 14 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 12: 2, 2, 3

All Prime Factors of 14: 2, 7

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 12 and 14

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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 12 and 14? (The answer is: 2). Select the first number (e.g. '12') and the second number (e.g. '14'). 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
1141
2142
3141
4142
5141
6142
7147
8142
9141
10142
11141
12142
13141
141414
15141
16142
17141
18142
19141
20142
21147
22142
23141
24142
25141
26142
27141
281414
29141
30142

FAQ

What is the Greatest common Divisor of 12 and 14?

GCF of 12 and 14 is 2

See Also