GCF for 42 and 98

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest Common Divisor of 42 and 98?

Answer

GCF of 42 and 98 is 14

(Fourteen)

Finding GCF for 42 and 98 using all factors (divisors) listing

The first method to find GCF for numbers 42 and 98 is to list all factors for both numbers and pick the highest common one:

All factors of 42: 1, 2, 3, 6, 7, 14, 21, 42

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

So the Greatest Common Factor for 42 and 98 is 14

Finding GCF for 42 and 98 by Prime Factorization

The second method to find GCF for numbers 42 and 98 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 42: 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

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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 42 and 98? (The answer is: 14). Select the first number (e.g. '42') 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.

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

GCF Table

Number 1Number 2GCF
27981
289814
29981
30982
31981
32982
33981
34982
35987
36982
37981
38982
39981
40982
41981
429814
43981
44982
45981
46982
47981
48982
499849
50982
51981
52982
53981
54982
55981
569814

FAQ

What is the Greatest Common Divisor of 42 and 98?

GCF of 42 and 98 is 14

How to find the GCF of 42 and 98?

You can find the GCF of 42 and 98 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 42 and 98 is 14.

See Also