Greatest Common Factor of 289 and 291

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

Greatest common factor (GCF) of 289 and 291 is 1.

GCF(289,291) = 1

GCF of 289 and 291

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

GCF of:
and

Greatest Common Factor of 289 and 291

GCF of 289 and 291 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 291


3 291
97 97
1

Prime factors of 291 are 3.Prime factorization of 291 in exponential form is:

291 = 31×971

∴ So by taking common prime factors GCF of 289 and 291 is 1

Greatest Common Factor of 289 and 291 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 291

List of positive integer factors of 291 that divides 291 without a remainder.

1,3,97,291

Greatest Common Factor

We found the factors and prime factorization of 289 and 291. The biggest common factor number is the GCF number.
So the greatest common factor 289 and 291 is 1.

Also check out the Least Common Multiple of 289 and 291

Properties of GCF 289 and 291

(i) The GCF of 289 and 291 is associative

GCF of 289 and 291 = GCF of 291 and 289

Related Greatest Common Factor of 289

Related Greatest Common Factor of 291

Frequently Asked Questions on GCF of 289 and 291

1. What is the GCF of 289 and 291?

Answer: GCF of 289 and 291 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 291?

Answer: Factors of 291 are 1, 3, 97, 291. There are 4 integers that are factors of 291. The greatest factor of 291 is 291.

4. How to Find the GCF of 289 and 291?

Answer:

Greatest Common Factor of 289 and 291 = 1

Step 1: Find the prime factorization of 289

289 = 17 x 17

Step 2: Find the prime factorization of 291

291 = 3 x 97

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 291 is 1