GCF for 14 and 98

What is the Greatest common Divisor of 14 and 98?

Answer: GCF of 14 and 98 is 14

(Fourteen)

Finding GCF for 14 and 98 using all factors (divisors) listing

The first method to find GCF for numbers 14 and 98 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 98: 1, 2, 7, 14, 49, 98

So the Greatest Common Factor for 14 and 98 is 14

Finding GCF for 14 and 98 by Prime Factorization

The second method to find GCF for numbers 14 and 98 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 98: 2, 7, 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

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 98? (The answer is: 14). Select the first number (e.g. '14') and the second number (e.g. '98'). 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
1981
2982
3981
4982
5981
6982
7987
8982
9981
10982
11981
12982
13981
1498
15981
16982
17981
18982
19981
20982
21987
22982
23981
24982
25981
26982
27981
2898
29981
30982

FAQ

What is the Greatest common Divisor of 14 and 98?

GCF of 14 and 98 is 14