GCF of 12 and 14 (Greatest Common Factor)

"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
1244
1266
1271
1284
1293
12102
12131
12142
12153
12164
12171
12186
12191
12204
12213
12222
122412
12251
12262
12273
12284
12291
12306
12324
12333
12342
12351
123612
12382
12393

FAQ

What is the Greatest Common Divisor of 12 and 14?

GCF of 12 and 14 is 2

How to find the GCF of 12 and 14?

You can find the GCF of 12 and 14 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 12 and 14 is 2.

See Also