Greatest Common Factor of 268 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 268, 269 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 268 and 269 is 1.

GCF(268,269) = 1

GCF of 268 and 269

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

GCF of:
and

Greatest Common Factor of 268 and 269

GCF of 268 and 269 is 1

Prime Factorization of 268


2 268
2 134
67 67
1

Prime factors of 268 are 2,67. Prime factorization of 268 in exponential form is:

268 = 22×671

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 268 and 269 is 1

Greatest Common Factor of 268 and 269 by matching factors method

Factors of 268

List of positive integer factors of 268 that divides 268 without a remainder.

1,2,4,67,134,268

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 268 and 269. The biggest common factor number is the GCF number.
So the greatest common factor 268 and 269 is 1.

Also check out the Least Common Multiple of 268 and 269

Properties of GCF 268 and 269

(i) The GCF of 268 and 269 is associative

GCF of 268 and 269 = GCF of 269 and 268

Related Greatest Common Factor of 268

Related Greatest Common Factor of 269

Frequently Asked Questions on GCF of 268 and 269

1. What is the GCF of 268 and 269?

Answer: GCF of 268 and 269 is 1.

2. What are the Factors of 268?

Answer: Factors of 268 are 1, 2, 4, 67, 134, 268. There are 6 integers that are factors of 268. The greatest factor of 268 is 268.

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 268 and 269?

Answer:

Greatest Common Factor of 268 and 269 = 1

Step 1: Find the prime factorization of 268

268 = 2 x 2 x 67

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 268 and 269 is 1