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 8495, 8497 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8495 and 8497 is 1.
GCF(8495,8497) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8495
5 | 8495 |
1699 | 1699 |
1 |
Prime factors of 8495 are 5,1699. Prime factorization of 8495 in exponential form is:
8495 = 51×16991
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 8495 and 8497 is 1
Factors of 8495
List of positive integer factors of 8495 that divides 8495 without a remainder.
1,5,1699,8495
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 8495 and 8497. The biggest common factor number is the GCF number.
So the greatest common factor 8495 and 8497 is 1.
Also check out the Least Common Multiple of 8495 and 8497
(i) The GCF of 8495 and 8497 is associative
GCF of 8495 and 8497 = GCF of 8497 and 8495
1. What is the GCF of 8495 and 8497?
Answer: GCF of 8495 and 8497 is 1.
2. What are the Factors of 8495?
Answer: Factors of 8495 are 1, 5, 1699, 8495. There are 4 integers that are factors of 8495. The greatest factor of 8495 is 8495.
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 8495 and 8497?
Answer:
Greatest Common Factor of 8495 and 8497 = 1
Step 1: Find the prime factorization of 8495
8495 = 5 x 1699
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 8495 and 8497 is 1