GCF for 42 and 28

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest common Divisor of 42 and 28?

Answer: GCF of 42 and 28 is 14

(Fourteen)

Finding GCF for 42 and 28 using all factors (divisors) listing

The first method to find GCF for numbers 42 and 28 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 28: 1, 2, 4, 7, 14, 28

So the Greatest Common Factor for 42 and 28 is 14

Finding GCF for 42 and 28 by Prime Factorization

The second method to find GCF for numbers 42 and 28 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 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 42 and 28? (The answer is: 14). Select the first number (e.g. '42') 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
27281
282828
29281
30282
31281
32284
33281
34282
35287
36284
37281
38282
39281
40284
41281
422814
43281
44284
45281
46282
47281
48284
49287
50282
51281
52284
53281
54282
55281
562828

FAQ

What is the Greatest common Divisor of 42 and 28?

GCF of 42 and 28 is 14

See Also