GCF for 14 and 76

What is the Greatest Common Factor of 14 and 76?

Answer: GCF of 14 and 76 is 2

(Two)

Finding GCF for 14 and 76 using all factors (divisors) listing

The first method to find GCF for numbers 14 and 76 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 76: 1, 2, 4, 19, 38, 76

So the Greatest Common Factor for 14 and 76 is 2

Finding GCF for 14 and 76 by Prime Factorization

The second method to find GCF for numbers 14 and 76 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 76: 2, 2, 19

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 76

GCF Table

Number 1Number 2GCF
1761
2762
3761
4764
5761
6762
7761
8764
9761
10762
11761
12764
13761
14762
15761
16764
17761
18762
1976
20764
21761
22762
23761
24764
25761
26762
27761
28764
29761
30762

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 76? (The answer is: 2). Select the first number (e.g. '14') and the second number (e.g. '76'). 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 76?

GCF of 14 and 76 is 2