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 6298, 6305 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6298 and 6305 is 1.
GCF(6298,6305) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6298
2 | 6298 |
47 | 3149 |
67 | 67 |
1 |
Prime factors of 6298 are 2,47,67. Prime factorization of 6298 in exponential form is:
6298 = 21×471×671
Prime Factorization of 6305
5 | 6305 |
13 | 1261 |
97 | 97 |
1 |
Prime factors of 6305 are 5,13,97. Prime factorization of 6305 in exponential form is:
6305 = 51×131×971
∴ So by taking common prime factors GCF of 6298 and 6305 is 1
Factors of 6298
List of positive integer factors of 6298 that divides 6298 without a remainder.
1,2,47,67,94,134,3149,6298
Factors of 6305
List of positive integer factors of 6305 that divides 6305 without a remainder.
1,5,13,65,97,485,1261,6305
Greatest Common Factor
We found the factors and prime factorization of 6298 and 6305. The biggest common factor number is the GCF number.
So the greatest common factor 6298 and 6305 is 1.
Also check out the Least Common Multiple of 6298 and 6305
(i) The GCF of 6298 and 6305 is associative
GCF of 6298 and 6305 = GCF of 6305 and 6298
1. What is the GCF of 6298 and 6305?
Answer: GCF of 6298 and 6305 is 1.
2. What are the Factors of 6298?
Answer: Factors of 6298 are 1, 2, 47, 67, 94, 134, 3149, 6298. There are 8 integers that are factors of 6298. The greatest factor of 6298 is 6298.
3. What are the Factors of 6305?
Answer: Factors of 6305 are 1, 5, 13, 65, 97, 485, 1261, 6305. There are 8 integers that are factors of 6305. The greatest factor of 6305 is 6305.
4. How to Find the GCF of 6298 and 6305?
Answer:
Greatest Common Factor of 6298 and 6305 = 1
Step 1: Find the prime factorization of 6298
6298 = 2 x 47 x 67
Step 2: Find the prime factorization of 6305
6305 = 5 x 13 x 97
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 6298 and 6305 is 1