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 8491, 8495 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8491 and 8495 is 1.
GCF(8491,8495) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8491
7 | 8491 |
1213 | 1213 |
1 |
Prime factors of 8491 are 7,1213. Prime factorization of 8491 in exponential form is:
8491 = 71×12131
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
∴ So by taking common prime factors GCF of 8491 and 8495 is 1
Factors of 8491
List of positive integer factors of 8491 that divides 8491 without a remainder.
1,7,1213,8491
Factors of 8495
List of positive integer factors of 8495 that divides 8495 without a remainder.
1,5,1699,8495
Greatest Common Factor
We found the factors and prime factorization of 8491 and 8495. The biggest common factor number is the GCF number.
So the greatest common factor 8491 and 8495 is 1.
Also check out the Least Common Multiple of 8491 and 8495
(i) The GCF of 8491 and 8495 is associative
GCF of 8491 and 8495 = GCF of 8495 and 8491
1. What is the GCF of 8491 and 8495?
Answer: GCF of 8491 and 8495 is 1.
2. What are the Factors of 8491?
Answer: Factors of 8491 are 1, 7, 1213, 8491. There are 4 integers that are factors of 8491. The greatest factor of 8491 is 8491.
3. 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.
4. How to Find the GCF of 8491 and 8495?
Answer:
Greatest Common Factor of 8491 and 8495 = 1
Step 1: Find the prime factorization of 8491
8491 = 7 x 1213
Step 2: Find the prime factorization of 8495
8495 = 5 x 1699
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 8491 and 8495 is 1