GCF for 6 and 58

What is the Greatest Common Factor of 6 and 58?

Answer: GCF of 6 and 58 is 2

(Two)

Finding GCF for 6 and 58 using all factors (divisors) listing

The first method to find GCF for numbers 6 and 58 is to list all factors for both numbers and pick the highest common one:

All factors of 6: 1, 2, 3, 6

All factors of 58: 1, 2, 29, 58

So the Greatest Common Factor for 6 and 58 is 2

Finding GCF for 6 and 58 by Prime Factorization

The second method to find GCF for numbers 6 and 58 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 6: 2, 3

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 6 and 58

Related Calculations

GCF Table

Number 1Number 2GCF
1581
2582
3581
4582
5581
6582
7581
8582
9581
10582
11581
12582
13581
14582
15581
16582
17581
18582
19581
20582
21581
22582
23581
24582
25581
2658
27581
2858
2958
30582

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 6 and 58? (The answer is: 2). Select the first number (e.g. '6') 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 6 and 58?

GCF of 6 and 58 is 2