Greatest Common Factor of 5489 and 5497

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 5489, 5497 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5489 and 5497 is 1.

GCF(5489,5497) = 1

GCF of 5489 and 5497

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

GCF of:
and

Greatest Common Factor of 5489 and 5497

GCF of 5489 and 5497 is 1

Prime Factorization of 5489


11 5489
499 499
1

Prime factors of 5489 are 11,499. Prime factorization of 5489 in exponential form is:

5489 = 111×4991

Prime Factorization of 5497


23 5497
239 239
1

Prime factors of 5497 are 23,239. Prime factorization of 5497 in exponential form is:

5497 = 231×2391

∴ So by taking common prime factors GCF of 5489 and 5497 is 1

Greatest Common Factor of 5489 and 5497 by matching factors method

Factors of 5489

List of positive integer factors of 5489 that divides 5489 without a remainder.

1,11,499,5489

Factors of 5497

List of positive integer factors of 5497 that divides 5497 without a remainder.

1,23,239,5497

Greatest Common Factor

We found the factors and prime factorization of 5489 and 5497. The biggest common factor number is the GCF number.
So the greatest common factor 5489 and 5497 is 1.

Also check out the Least Common Multiple of 5489 and 5497

Properties of GCF 5489 and 5497

(i) The GCF of 5489 and 5497 is associative

GCF of 5489 and 5497 = GCF of 5497 and 5489

Frequently Asked Questions on GCF of 5489 and 5497

1. What is the GCF of 5489 and 5497?

Answer: GCF of 5489 and 5497 is 1.

2. What are the Factors of 5489?

Answer: Factors of 5489 are 1, 11, 499, 5489. There are 4 integers that are factors of 5489. The greatest factor of 5489 is 5489.

3. What are the Factors of 5497?

Answer: Factors of 5497 are 1, 23, 239, 5497. There are 4 integers that are factors of 5497. The greatest factor of 5497 is 5497.

4. How to Find the GCF of 5489 and 5497?

Answer:

Greatest Common Factor of 5489 and 5497 = 1

Step 1: Find the prime factorization of 5489

5489 = 11 x 499

Step 2: Find the prime factorization of 5497

5497 = 23 x 239

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 5489 and 5497 is 1