Greatest Common Factor of 8238 and 8243

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, 8243 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8238 and 8243 is 1.

GCF(8238,8243) = 1

GCF of 8238 and 8243

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

GCF of:
and

Greatest Common Factor of 8238 and 8243

GCF of 8238 and 8243 is 1

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 8243


8243 8243
1

Prime factors of 8243 are 8243. Prime factorization of 8243 in exponential form is:

8243 = 82431

∴ So by taking common prime factors GCF of 8238 and 8243 is 1

Greatest Common Factor of 8238 and 8243 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 8243

List of positive integer factors of 8243 that divides 8243 without a remainder.

1,8243

Greatest Common Factor

We found the factors and prime factorization of 8238 and 8243. The biggest common factor number is the GCF number.
So the greatest common factor 8238 and 8243 is 1.

Also check out the Least Common Multiple of 8238 and 8243

Properties of GCF 8238 and 8243

(i) The GCF of 8238 and 8243 is associative

GCF of 8238 and 8243 = GCF of 8243 and 8238

Frequently Asked Questions on GCF of 8238 and 8243

1. What is the GCF of 8238 and 8243?

Answer: GCF of 8238 and 8243 is 1.

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 8243?

Answer: Factors of 8243 are 1, 8243. There are 2 integers that are factors of 8243. The greatest factor of 8243 is 8243.

4. How to Find the GCF of 8238 and 8243?

Answer:

Greatest Common Factor of 8238 and 8243 = 1

Step 1: Find the prime factorization of 8238

8238 = 2 x 3 x 1373

Step 2: Find the prime factorization of 8243

8243 = 8243

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 8238 and 8243 is 1