Greatest Common Factor of 289 and 293

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 289, 293 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 289 and 293 is 1.

GCF(289,293) = 1

GCF of 289 and 293

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

GCF of:
and

Greatest Common Factor of 289 and 293

GCF of 289 and 293 is 1

Prime Factorization of 289


17 289
17 17
1

Prime factors of 289 are 17. Prime factorization of 289 in exponential form is:

289 = 172

Prime Factorization of 293


293 293
1

Prime factors of 293 are 293.Prime factorization of 293 in exponential form is:

293 = 2931

∴ So by taking common prime factors GCF of 289 and 293 is 1

Greatest Common Factor of 289 and 293 by matching factors method

Factors of 289

List of positive integer factors of 289 that divides 289 without a remainder.

1,17,289

Factors of 293

List of positive integer factors of 293 that divides 293 without a remainder.

1,293

Greatest Common Factor

We found the factors and prime factorization of 289 and 293. The biggest common factor number is the GCF number.
So the greatest common factor 289 and 293 is 1.

Also check out the Least Common Multiple of 289 and 293

Properties of GCF 289 and 293

(i) The GCF of 289 and 293 is associative

GCF of 289 and 293 = GCF of 293 and 289

Related Greatest Common Factor of 289

Related Greatest Common Factor of 293

Frequently Asked Questions on GCF of 289 and 293

1. What is the GCF of 289 and 293?

Answer: GCF of 289 and 293 is 1.

2. What are the Factors of 289?

Answer: Factors of 289 are 1, 17, 289. There are 3 integers that are factors of 289. The greatest factor of 289 is 289.

3. What are the Factors of 293?

Answer: Factors of 293 are 1, 293. There are 2 integers that are factors of 293. The greatest factor of 293 is 293.

4. How to Find the GCF of 289 and 293?

Answer:

Greatest Common Factor of 289 and 293 = 1

Step 1: Find the prime factorization of 289

289 = 17 x 17

Step 2: Find the prime factorization of 293

293 = 293

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 289 and 293 is 1