GCF for 6 and 22

What is the Greatest common Divisor of 6 and 22?

Answer: GCF of 6 and 22 is 2

(Two)

Finding GCF for 6 and 22 using all factors (divisors) listing

The first method to find GCF for numbers 6 and 22 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 22: 1, 2, 11, 22

So the Greatest Common Factor for 6 and 22 is 2

Finding GCF for 6 and 22 by Prime Factorization

The second method to find GCF for numbers 6 and 22 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 22: 2, 11

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 22

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 6 and 22? (The answer is: 2). Select the first number (e.g. '6') and the second number (e.g. '22'). 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

GCF Table

Number 1Number 2GCF
1221
222
3221
422
5221
622
7221
8222
9221
1022
1122
1222
13221
1422
1522
1622
17221
1822
1922
2022
21221
222222
23221
24222
25221
26222
27221
28222
29221
30222

FAQ

What is the Greatest common Divisor of 6 and 22?

GCF of 6 and 22 is 2