Greatest Common Factor of 8245 and 8249

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 8245, 8249 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8245 and 8249 is 1.

GCF(8245,8249) = 1

GCF of 8245 and 8249

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

GCF of:
and

Greatest Common Factor of 8245 and 8249

GCF of 8245 and 8249 is 1

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

Prime Factorization of 8249


73 8249
113 113
1

Prime factors of 8249 are 73,113. Prime factorization of 8249 in exponential form is:

8249 = 731×1131

∴ So by taking common prime factors GCF of 8245 and 8249 is 1

Greatest Common Factor of 8245 and 8249 by matching factors method

Factors of 8245

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

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

Factors of 8249

List of positive integer factors of 8249 that divides 8249 without a remainder.

1,73,113,8249

Greatest Common Factor

We found the factors and prime factorization of 8245 and 8249. The biggest common factor number is the GCF number.
So the greatest common factor 8245 and 8249 is 1.

Also check out the Least Common Multiple of 8245 and 8249

Properties of GCF 8245 and 8249

(i) The GCF of 8245 and 8249 is associative

GCF of 8245 and 8249 = GCF of 8249 and 8245

Related Greatest Common Factor of 8245

Related Greatest Common Factor of 8249

Frequently Asked Questions on GCF of 8245 and 8249

1. What is the GCF of 8245 and 8249?

Answer: GCF of 8245 and 8249 is 1.

2. 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.

3. What are the Factors of 8249?

Answer: Factors of 8249 are 1, 73, 113, 8249. There are 4 integers that are factors of 8249. The greatest factor of 8249 is 8249.

4. How to Find the GCF of 8245 and 8249?

Answer:

Greatest Common Factor of 8245 and 8249 = 1

Step 1: Find the prime factorization of 8245

8245 = 5 x 17 x 97

Step 2: Find the prime factorization of 8249

8249 = 73 x 113

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 8245 and 8249 is 1