GCF for 14 and 32

What is the Greatest Common Factor of 14 and 32?

Answer: GCF of 14 and 32 is 2

(Two)

Finding GCF for 14 and 32 using all factors (divisors) listing

The first method to find GCF for numbers 14 and 32 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 32: 1, 2, 4, 8, 16, 32

So the Greatest Common Factor for 14 and 32 is 2

Finding GCF for 14 and 32 by Prime Factorization

The second method to find GCF for numbers 14 and 32 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 32: 2, 2, 2, 2, 2

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 32

GCF Table

Number 1Number 2GCF
1321
232
3321
432
5321
6322
7321
832
9321
10322
11321
1232
13321
1432
1532
1632
17321
1832
19321
2032
21321
2232
23321
2432
25321
26322
2732
2832
29321
3032

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 14 and 32? (The answer is: 2). Select the first number (e.g. '14') and the second number (e.g. '32'). 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 14 and 32?

GCF of 14 and 32 is 2