GCF for 14 and 44

What is the Greatest common Divisor of 14 and 44?

Answer: GCF of 14 and 44 is 2

(Two)

Finding GCF for 14 and 44 using all factors (divisors) listing

The first method to find GCF for numbers 14 and 44 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 44: 1, 2, 4, 11, 22, 44

So the Greatest Common Factor for 14 and 44 is 2

Finding GCF for 14 and 44 by Prime Factorization

The second method to find GCF for numbers 14 and 44 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 44: 2, 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 44

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 14 and 44? (The answer is: 2). Select the first number (e.g. '14') and the second number (e.g. '44'). 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
1441
2442
3441
4444
5441
6442
7441
844
9441
10442
1144
1244
13441
1444
1544
1644
17441
18442
19441
2044
2144
2244
23441
2444
25441
26442
27441
2844
29441
30442

FAQ

What is the Greatest common Divisor of 14 and 44?

GCF of 14 and 44 is 2