GCF for 42 and 96

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest Common Divisor of 42 and 96?

Answer

GCF of 42 and 96 is 6

(Six)

Finding GCF for 42 and 96 using all factors (divisors) listing

The first method to find GCF for numbers 42 and 96 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 96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

So the Greatest Common Factor for 42 and 96 is 6

Finding GCF for 42 and 96 by Prime Factorization

The second method to find GCF for numbers 42 and 96 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 96: 2, 2, 2, 2, 2, 3

As we can see there are Prime Factors common to both numbers: 2, 3

Now we need to multiply them to find GCF: 2 × 3 = 6

Related Calculations

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 42 and 96? (The answer is: 6). Select the first number (e.g. '42') and the second number (e.g. '96'). 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
27963
28964
29961
30966
31961
329632
33963
34962
35961
369612
37961
38962
39963
40968
41961
42966
43961
44964
45963
46962
47961
489648
49961
50962
51963
52964
53961
54966
55961
56968

FAQ

What is the Greatest Common Divisor of 42 and 96?

GCF of 42 and 96 is 6

How to find the GCF of 42 and 96?

You can find the GCF of 42 and 96 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 42 and 96 is 6.

See Also