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 5497, 5502 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5497 and 5502 is 1.
GCF(5497,5502) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 5502
2 | 5502 |
3 | 2751 |
7 | 917 |
131 | 131 |
1 |
Prime factors of 5502 are 2,3,7,131. Prime factorization of 5502 in exponential form is:
5502 = 21×31×71×1311
∴ So by taking common prime factors GCF of 5497 and 5502 is 1
Factors of 5497
List of positive integer factors of 5497 that divides 5497 without a remainder.
1,23,239,5497
Factors of 5502
List of positive integer factors of 5502 that divides 5502 without a remainder.
1,2,3,6,7,14,21,42,131,262,393,786,917,1834,2751,5502
Greatest Common Factor
We found the factors and prime factorization of 5497 and 5502. The biggest common factor number is the GCF number.
So the greatest common factor 5497 and 5502 is 1.
Also check out the Least Common Multiple of 5497 and 5502
(i) The GCF of 5497 and 5502 is associative
GCF of 5497 and 5502 = GCF of 5502 and 5497
1. What is the GCF of 5497 and 5502?
Answer: GCF of 5497 and 5502 is 1.
2. 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.
3. What are the Factors of 5502?
Answer: Factors of 5502 are 1, 2, 3, 6, 7, 14, 21, 42, 131, 262, 393, 786, 917, 1834, 2751, 5502. There are 16 integers that are factors of 5502. The greatest factor of 5502 is 5502.
4. How to Find the GCF of 5497 and 5502?
Answer:
Greatest Common Factor of 5497 and 5502 = 1
Step 1: Find the prime factorization of 5497
5497 = 23 x 239
Step 2: Find the prime factorization of 5502
5502 = 2 x 3 x 7 x 131
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 5497 and 5502 is 1