Greatest Common Factor of 8234 and 8238

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, 8238 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8234 and 8238 is 2.

GCF(8234,8238) = 2

GCF of 8234 and 8238

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

GCF of:
and

Greatest Common Factor of 8234 and 8238

GCF of 8234 and 8238 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 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

∴ So by taking common prime factors GCF of 8234 and 8238 is 2

Greatest Common Factor of 8234 and 8238 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 8238

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

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

Greatest Common Factor

We found the factors and prime factorization of 8234 and 8238. The biggest common factor number is the GCF number.
So the greatest common factor 8234 and 8238 is 2.

Also check out the Least Common Multiple of 8234 and 8238

Properties of GCF 8234 and 8238

(i) The GCF of 8234 and 8238 is associative

GCF of 8234 and 8238 = GCF of 8238 and 8234

Related Greatest Common Factor of 8234

Related Greatest Common Factor of 8238

Frequently Asked Questions on GCF of 8234 and 8238

1. What is the GCF of 8234 and 8238?

Answer: GCF of 8234 and 8238 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 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.

4. How to Find the GCF of 8234 and 8238?

Answer:

Greatest Common Factor of 8234 and 8238 = 2

Step 1: Find the prime factorization of 8234

8234 = 2 x 23 x 179

Step 2: Find the prime factorization of 8238

8238 = 2 x 3 x 1373

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 8238 is 2