GCF for 14 and 28

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest common Divisor of 14 and 28?

Answer: GCF of 14 and 28 is 14

(Fourteen)

Finding GCF for 14 and 28 using all factors (divisors) listing

The first method to find GCF for numbers 14 and 28 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 28: 1, 2, 4, 7, 14, 28

So the Greatest Common Factor for 14 and 28 is 14

Finding GCF for 14 and 28 by Prime Factorization

The second method to find GCF for numbers 14 and 28 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 28: 2, 2, 7

As we can see there are Prime Factors common to both numbers: 2, 7

Now we need to multiply them to find GCF: 2 × 7 = 14

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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 28? (The answer is: 14). Select the first number (e.g. '14') and the second number (e.g. '28'). 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
1281
2282
3281
4284
5281
6282
7287
8284
9281
10282
11281
12284
13281
142814
15281
16284
17281
18282
19281
20284
21287
22282
23281
24284
25281
26282
27281
282828
29281
30282

FAQ

What is the Greatest common Divisor of 14 and 28?

GCF of 14 and 28 is 14

See Also