GCF for 84 and 98

What is the Greatest Common Factor of 84 and 98?

Answer: GCF of 84 and 98 is 14

(Fourteen)

Finding GCF for 84 and 98 using all factors (divisors) listing

The first method to find GCF for numbers 84 and 98 is to list all factors for both numbers and pick the highest common one:

All factors of 84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

All factors of 98: 1, 2, 7, 14, 49, 98

So the Greatest Common Factor for 84 and 98 is 14

Finding GCF for 84 and 98 by Prime Factorization

The second method to find GCF for numbers 84 and 98 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 84: 2, 2, 3, 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

GCF Table

Number 1Number 2GCF
69981
7098
71981
72982
73981
74982
75981
76982
77987
78982
79981
80982
81981
82982
83981
849814
85981
86982
87981
88982
89981
90982
91987
92982
93981
94982
95981
96982
97981
989898

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 84 and 98? (The answer is: 14). Select the first number (e.g. '84') 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

FAQ

What is the Greatest Common Factor of 84 and 98?

GCF of 84 and 98 is 14