GCF for 42 and 58

What is the Greatest Common Factor of 42 and 58?

Answer: GCF of 42 and 58 is 2

(Two)

Finding GCF for 42 and 58 using all factors (divisors) listing

The first method to find GCF for numbers 42 and 58 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 58: 1, 2, 29, 58

So the Greatest Common Factor for 42 and 58 is 2

Finding GCF for 42 and 58 by Prime Factorization

The second method to find GCF for numbers 42 and 58 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 58: 2, 29

As we can see there is only one Prime Factor common to both numbers. It is 2

So 2 is the Greatest Common Factor of 42 and 58

Related Calculations

GCF Table

Number 1Number 2GCF
27581
2858
2958
30582
31581
32582
33581
34582
35581
36582
37581
38582
39581
40582
41581
42582
43581
44582
45581
4658
47581
4858
49581
50582
51581
52582
53581
54582
55581
56582

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 42 and 58? (The answer is: 2). Select the first number (e.g. '42') and the second number (e.g. '58'). 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 42 and 58?

GCF of 42 and 58 is 2