Greatest Common Factor of 8238 and 8245

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, 8245 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8238 and 8245 is 1.

GCF(8238,8245) = 1

GCF of 8238 and 8245

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

GCF of:
and

Greatest Common Factor of 8238 and 8245

GCF of 8238 and 8245 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 8245


5 8245
17 1649
97 97
1

Prime factors of 8245 are 5,17,97. Prime factorization of 8245 in exponential form is:

8245 = 51×171×971

∴ So by taking common prime factors GCF of 8238 and 8245 is 1

Greatest Common Factor of 8238 and 8245 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 8245

List of positive integer factors of 8245 that divides 8245 without a remainder.

1,5,17,85,97,485,1649,8245

Greatest Common Factor

We found the factors and prime factorization of 8238 and 8245. The biggest common factor number is the GCF number.
So the greatest common factor 8238 and 8245 is 1.

Also check out the Least Common Multiple of 8238 and 8245

Properties of GCF 8238 and 8245

(i) The GCF of 8238 and 8245 is associative

GCF of 8238 and 8245 = GCF of 8245 and 8238

Related Greatest Common Factor of 8238

Related Greatest Common Factor of 8245

Frequently Asked Questions on GCF of 8238 and 8245

1. What is the GCF of 8238 and 8245?

Answer: GCF of 8238 and 8245 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 8245?

Answer: Factors of 8245 are 1, 5, 17, 85, 97, 485, 1649, 8245. There are 8 integers that are factors of 8245. The greatest factor of 8245 is 8245.

4. How to Find the GCF of 8238 and 8245?

Answer:

Greatest Common Factor of 8238 and 8245 = 1

Step 1: Find the prime factorization of 8238

8238 = 2 x 3 x 1373

Step 2: Find the prime factorization of 8245

8245 = 5 x 17 x 97

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 8245 is 1