GCF for 38 and 82

What is the Greatest common Divisor of 38 and 82?

Answer: GCF of 38 and 82 is 2

(Two)

Finding GCF for 38 and 82 using all factors (divisors) listing

The first method to find GCF for numbers 38 and 82 is to list all factors for both numbers and pick the highest common one:

All factors of 38: 1, 2, 19, 38

All factors of 82: 1, 2, 41, 82

So the Greatest Common Factor for 38 and 82 is 2

Finding GCF for 38 and 82 by Prime Factorization

The second method to find GCF for numbers 38 and 82 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 38: 2, 19

All Prime Factors of 82: 2, 41

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 38 and 82

Related Calculations

See Also

GCF Table

Number 1Number 2GCF
23821
24822
25821
26822
27821
28822
29821
30822
31821
32822
33821
34822
35821
36822
37821
3882
39821
40822
418241
4282
43821
44822
45821
46822
47821
48822
49821
50822
51821
52822

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 38 and 82? (The answer is: 2). Select the first number (e.g. '38') and the second number (e.g. '82'). 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 Divisor of 38 and 82?

GCF of 38 and 82 is 2