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 8490, 8497 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8490 and 8497 is 1.
GCF(8490,8497) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8490
2 | 8490 |
3 | 4245 |
5 | 1415 |
283 | 283 |
1 |
Prime factors of 8490 are 2,3,5,283. Prime factorization of 8490 in exponential form is:
8490 = 21×31×51×2831
Prime Factorization of 8497
29 | 8497 |
293 | 293 |
1 |
Prime factors of 8497 are 29,293. Prime factorization of 8497 in exponential form is:
8497 = 291×2931
∴ So by taking common prime factors GCF of 8490 and 8497 is 1
Factors of 8490
List of positive integer factors of 8490 that divides 8490 without a remainder.
1,2,3,5,6,10,15,30,283,566,849,1415,1698,2830,4245,8490
Factors of 8497
List of positive integer factors of 8497 that divides 8497 without a remainder.
1,29,293,8497
Greatest Common Factor
We found the factors and prime factorization of 8490 and 8497. The biggest common factor number is the GCF number.
So the greatest common factor 8490 and 8497 is 1.
Also check out the Least Common Multiple of 8490 and 8497
(i) The GCF of 8490 and 8497 is associative
GCF of 8490 and 8497 = GCF of 8497 and 8490
1. What is the GCF of 8490 and 8497?
Answer: GCF of 8490 and 8497 is 1.
2. What are the Factors of 8490?
Answer: Factors of 8490 are 1, 2, 3, 5, 6, 10, 15, 30, 283, 566, 849, 1415, 1698, 2830, 4245, 8490. There are 16 integers that are factors of 8490. The greatest factor of 8490 is 8490.
3. What are the Factors of 8497?
Answer: Factors of 8497 are 1, 29, 293, 8497. There are 4 integers that are factors of 8497. The greatest factor of 8497 is 8497.
4. How to Find the GCF of 8490 and 8497?
Answer:
Greatest Common Factor of 8490 and 8497 = 1
Step 1: Find the prime factorization of 8490
8490 = 2 x 3 x 5 x 283
Step 2: Find the prime factorization of 8497
8497 = 29 x 293
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 8490 and 8497 is 1