GCF for 14 and 22

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest common Divisor of 14 and 22?

Answer: GCF of 14 and 22 is 2

(Two)

Finding GCF for 14 and 22 using all factors (divisors) listing

The first method to find GCF for numbers 14 and 22 is to list all factors for both numbers and pick the highest common one:

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

All factors of 22: 1, 2, 11, 22

So the Greatest Common Factor for 14 and 22 is 2

Finding GCF for 14 and 22 by Prime Factorization

The second method to find GCF for numbers 14 and 22 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 14: 2, 7

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 14 and 22

Related Calculations

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 14 and 22? (The answer is: 2). Select the first number (e.g. '14') 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

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

GCF Table

Number 1Number 2GCF
1221
2222
3221
4222
5221
6222
7221
8222
9221
10222
112211
12222
13221
14222
15221
16222
17221
18222
19221
20222
21221
222222
23221
24222
25221
26222
27221
28222
29221
30222

FAQ

What is the Greatest common Divisor of 14 and 22?

GCF of 14 and 22 is 2

See Also