GCF for 6 and 14

What is the Greatest Common Factor of 6 and 14?

Answer: GCF of 6 and 14 is 2

(Two)

Finding GCF for 6 and 14 using all factors (divisors) listing

The first method to find GCF for numbers 6 and 14 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 14: 1, 2, 7, 14

So the Greatest Common Factor for 6 and 14 is 2

Finding GCF for 6 and 14 by Prime Factorization

The second method to find GCF for numbers 6 and 14 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 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 6 and 14

GCF Table

Number 1Number 2GCF
1141
214
3141
414
514
614
714
814
914
1014
11141
1214
1314
141414
15141
16142
17141
18142
19141
20142
2114
22142
23141
24142
25141
26142
27141
281414
29141
30142

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 Factor of 6 and 14? (The answer is: 2). Select the first number (e.g. '6') 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

FAQ

What is the Greatest Common Factor of 6 and 14?

GCF of 6 and 14 is 2