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 8298, 8305 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8298 and 8305 is 1.
GCF(8298,8305) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8298
2 | 8298 |
3 | 4149 |
3 | 1383 |
461 | 461 |
1 |
Prime factors of 8298 are 2,3,461. Prime factorization of 8298 in exponential form is:
8298 = 21×32×4611
Prime Factorization of 8305
5 | 8305 |
11 | 1661 |
151 | 151 |
1 |
Prime factors of 8305 are 5,11,151. Prime factorization of 8305 in exponential form is:
8305 = 51×111×1511
∴ So by taking common prime factors GCF of 8298 and 8305 is 1
Factors of 8298
List of positive integer factors of 8298 that divides 8298 without a remainder.
1,2,3,6,9,18,461,922,1383,2766,4149,8298
Factors of 8305
List of positive integer factors of 8305 that divides 8305 without a remainder.
1,5,11,55,151,755,1661,8305
Greatest Common Factor
We found the factors and prime factorization of 8298 and 8305. The biggest common factor number is the GCF number.
So the greatest common factor 8298 and 8305 is 1.
Also check out the Least Common Multiple of 8298 and 8305
(i) The GCF of 8298 and 8305 is associative
GCF of 8298 and 8305 = GCF of 8305 and 8298
1. What is the GCF of 8298 and 8305?
Answer: GCF of 8298 and 8305 is 1.
2. What are the Factors of 8298?
Answer: Factors of 8298 are 1, 2, 3, 6, 9, 18, 461, 922, 1383, 2766, 4149, 8298. There are 12 integers that are factors of 8298. The greatest factor of 8298 is 8298.
3. What are the Factors of 8305?
Answer: Factors of 8305 are 1, 5, 11, 55, 151, 755, 1661, 8305. There are 8 integers that are factors of 8305. The greatest factor of 8305 is 8305.
4. How to Find the GCF of 8298 and 8305?
Answer:
Greatest Common Factor of 8298 and 8305 = 1
Step 1: Find the prime factorization of 8298
8298 = 2 x 3 x 3 x 461
Step 2: Find the prime factorization of 8305
8305 = 5 x 11 x 151
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 8298 and 8305 is 1