Greatest Common Factor of 261 and 269

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 261, 269 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 261 and 269 is 1.

GCF(261,269) = 1

GCF of 261 and 269

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

GCF of:
and

Greatest Common Factor of 261 and 269

GCF of 261 and 269 is 1

Prime Factorization of 261


3 261
3 87
29 29
1

Prime factors of 261 are 3,29. Prime factorization of 261 in exponential form is:

261 = 32×291

Prime Factorization of 269


269 269
1

Prime factors of 269 are 269. Prime factorization of 269 in exponential form is:

269 = 2691

∴ So by taking common prime factors GCF of 261 and 269 is 1

Greatest Common Factor of 261 and 269 by matching factors method

Factors of 261

List of positive integer factors of 261 that divides 261 without a remainder.

1,3,9,29,87,261

Factors of 269

List of positive integer factors of 269 that divides 269 without a remainder.

1,269

Greatest Common Factor

We found the factors and prime factorization of 261 and 269. The biggest common factor number is the GCF number.
So the greatest common factor 261 and 269 is 1.

Also check out the Least Common Multiple of 261 and 269

Properties of GCF 261 and 269

(i) The GCF of 261 and 269 is associative

GCF of 261 and 269 = GCF of 269 and 261

Related Greatest Common Factor of 261

Related Greatest Common Factor of 269

Frequently Asked Questions on GCF of 261 and 269

1. What is the GCF of 261 and 269?

Answer: GCF of 261 and 269 is 1.

2. What are the Factors of 261?

Answer: Factors of 261 are 1, 3, 9, 29, 87, 261. There are 6 integers that are factors of 261. The greatest factor of 261 is 261.

3. What are the Factors of 269?

Answer: Factors of 269 are 1, 269. There are 2 integers that are factors of 269. The greatest factor of 269 is 269.

4. How to Find the GCF of 261 and 269?

Answer:

Greatest Common Factor of 261 and 269 = 1

Step 1: Find the prime factorization of 261

261 = 3 x 3 x 29

Step 2: Find the prime factorization of 269

269 = 269

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 261 and 269 is 1