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 5495, 5497 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5495 and 5497 is 1.
GCF(5495,5497) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5495
5 | 5495 |
7 | 1099 |
157 | 157 |
1 |
Prime factors of 5495 are 5,7,157. Prime factorization of 5495 in exponential form is:
5495 = 51×71×1571
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 5495 and 5497 is 1
Factors of 5495
List of positive integer factors of 5495 that divides 5495 without a remainder.
1,5,7,35,157,785,1099,5495
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 5495 and 5497. The biggest common factor number is the GCF number.
So the greatest common factor 5495 and 5497 is 1.
Also check out the Least Common Multiple of 5495 and 5497
(i) The GCF of 5495 and 5497 is associative
GCF of 5495 and 5497 = GCF of 5497 and 5495
1. What is the GCF of 5495 and 5497?
Answer: GCF of 5495 and 5497 is 1.
2. What are the Factors of 5495?
Answer: Factors of 5495 are 1, 5, 7, 35, 157, 785, 1099, 5495. There are 8 integers that are factors of 5495. The greatest factor of 5495 is 5495.
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 5495 and 5497?
Answer:
Greatest Common Factor of 5495 and 5497 = 1
Step 1: Find the prime factorization of 5495
5495 = 5 x 7 x 157
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 5495 and 5497 is 1