Greatest Common Factor of 8267 and 8269

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 8267, 8269 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8267 and 8269 is 1.

GCF(8267,8269) = 1

GCF of 8267 and 8269

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

GCF of:
and

Greatest Common Factor of 8267 and 8269

GCF of 8267 and 8269 is 1

Prime Factorization of 8267


7 8267
1181 1181
1

Prime factors of 8267 are 7,1181. Prime factorization of 8267 in exponential form is:

8267 = 71×11811

Prime Factorization of 8269


8269 8269
1

Prime factors of 8269 are 8269. Prime factorization of 8269 in exponential form is:

8269 = 82691

∴ So by taking common prime factors GCF of 8267 and 8269 is 1

Greatest Common Factor of 8267 and 8269 by matching factors method

Factors of 8267

List of positive integer factors of 8267 that divides 8267 without a remainder.

1,7,1181,8267

Factors of 8269

List of positive integer factors of 8269 that divides 8269 without a remainder.

1,8269

Greatest Common Factor

We found the factors and prime factorization of 8267 and 8269. The biggest common factor number is the GCF number.
So the greatest common factor 8267 and 8269 is 1.

Also check out the Least Common Multiple of 8267 and 8269

Properties of GCF 8267 and 8269

(i) The GCF of 8267 and 8269 is associative

GCF of 8267 and 8269 = GCF of 8269 and 8267

Related Greatest Common Factor of 8267

Related Greatest Common Factor of 8269

Frequently Asked Questions on GCF of 8267 and 8269

1. What is the GCF of 8267 and 8269?

Answer: GCF of 8267 and 8269 is 1.

2. What are the Factors of 8267?

Answer: Factors of 8267 are 1, 7, 1181, 8267. There are 4 integers that are factors of 8267. The greatest factor of 8267 is 8267.

3. What are the Factors of 8269?

Answer: Factors of 8269 are 1, 8269. There are 2 integers that are factors of 8269. The greatest factor of 8269 is 8269.

4. How to Find the GCF of 8267 and 8269?

Answer:

Greatest Common Factor of 8267 and 8269 = 1

Step 1: Find the prime factorization of 8267

8267 = 7 x 1181

Step 2: Find the prime factorization of 8269

8269 = 8269

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 8267 and 8269 is 1