Greatest Common Factor of 8238 and 8242

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 8238, 8242 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8238 and 8242 is 2.

GCF(8238,8242) = 2

GCF of 8238 and 8242

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 8238 and 8242

GCF of 8238 and 8242 is 2

Prime Factorization of 8238


2 8238
3 4119
1373 1373
1

Prime factors of 8238 are 2,3,1373. Prime factorization of 8238 in exponential form is:

8238 = 21×31×13731

Prime Factorization of 8242


2 8242
13 4121
317 317
1

Prime factors of 8242 are 2,13,317. Prime factorization of 8242 in exponential form is:

8242 = 21×131×3171

∴ So by taking common prime factors GCF of 8238 and 8242 is 2

Greatest Common Factor of 8238 and 8242 by matching factors method

Factors of 8238

List of positive integer factors of 8238 that divides 8238 without a remainder.

1,2,3,6,1373,2746,4119,8238

Factors of 8242

List of positive integer factors of 8242 that divides 8242 without a remainder.

1,2,13,26,317,634,4121,8242

Greatest Common Factor

We found the factors and prime factorization of 8238 and 8242. The biggest common factor number is the GCF number.
So the greatest common factor 8238 and 8242 is 2.

Also check out the Least Common Multiple of 8238 and 8242

Properties of GCF 8238 and 8242

(i) The GCF of 8238 and 8242 is associative

GCF of 8238 and 8242 = GCF of 8242 and 8238

Related Greatest Common Factor of 8238

Related Greatest Common Factor of 8242

Frequently Asked Questions on GCF of 8238 and 8242

1. What is the GCF of 8238 and 8242?

Answer: GCF of 8238 and 8242 is 2.

2. What are the Factors of 8238?

Answer: Factors of 8238 are 1, 2, 3, 6, 1373, 2746, 4119, 8238. There are 8 integers that are factors of 8238. The greatest factor of 8238 is 8238.

3. What are the Factors of 8242?

Answer: Factors of 8242 are 1, 2, 13, 26, 317, 634, 4121, 8242. There are 8 integers that are factors of 8242. The greatest factor of 8242 is 8242.

4. How to Find the GCF of 8238 and 8242?

Answer:

Greatest Common Factor of 8238 and 8242 = 2

Step 1: Find the prime factorization of 8238

8238 = 2 x 3 x 1373

Step 2: Find the prime factorization of 8242

8242 = 2 x 13 x 317

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 8238 and 8242 is 2