GCF for 14 and 16

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest Common Divisor of 14 and 16?

Answer

GCF of 14 and 16 is 2

(Two)

Finding GCF for 14 and 16 using all factors (divisors) listing

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

So the Greatest Common Factor for 14 and 16 is 2

Finding GCF for 14 and 16 by Prime Factorization

The second method to find GCF for numbers 14 and 16 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 16: 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 16

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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 16? (The answer is: 2). Select the first number (e.g. '14') and the second number (e.g. '16'). 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 1 Number 2 GCF
1 16 1
2 16 2
3 16 1
4 16 4
5 16 1
6 16 2
7 16 1
8 16 8
9 16 1
10 16 2
11 16 1
12 16 4
13 16 1
14 16 2
15 16 1
16 16 16
17 16 1
18 16 2
19 16 1
20 16 4
21 16 1
22 16 2
23 16 1
24 16 8
25 16 1
26 16 2
27 16 1
28 16 4
29 16 1
30 16 2

FAQ

What is the Greatest Common Divisor of 14 and 16?
GCF of 14 and 16 is 2

How to find the GCF of 14 and 16?
You can find the GCF of 14 and 16 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 14 and 16 is 2.

See Also