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
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
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
(i) The GCF of 5489 and 5497 is associative
GCF of 5489 and 5497 = GCF of 5497 and 5489
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