Greatest Common Factor of 8234 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 8234, 8242 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8234 and 8242 is 2.

GCF(8234,8242) = 2

GCF of 8234 and 8242

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

GCF of:
and

Greatest Common Factor of 8234 and 8242

GCF of 8234 and 8242 is 2

Prime Factorization of 8234


2 8234
23 4117
179 179
1

Prime factors of 8234 are 2,23,179. Prime factorization of 8234 in exponential form is:

8234 = 21×231×1791

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 8234 and 8242 is 2

Greatest Common Factor of 8234 and 8242 by matching factors method

Factors of 8234

List of positive integer factors of 8234 that divides 8234 without a remainder.

1,2,23,46,179,358,4117,8234

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 8234 and 8242. The biggest common factor number is the GCF number.
So the greatest common factor 8234 and 8242 is 2.

Also check out the Least Common Multiple of 8234 and 8242

Properties of GCF 8234 and 8242

(i) The GCF of 8234 and 8242 is associative

GCF of 8234 and 8242 = GCF of 8242 and 8234

Related Greatest Common Factor of 8234

Related Greatest Common Factor of 8242

Frequently Asked Questions on GCF of 8234 and 8242

1. What is the GCF of 8234 and 8242?

Answer: GCF of 8234 and 8242 is 2.

2. What are the Factors of 8234?

Answer: Factors of 8234 are 1, 2, 23, 46, 179, 358, 4117, 8234. There are 8 integers that are factors of 8234. The greatest factor of 8234 is 8234.

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 8234 and 8242?

Answer:

Greatest Common Factor of 8234 and 8242 = 2

Step 1: Find the prime factorization of 8234

8234 = 2 x 23 x 179

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 8234 and 8242 is 2