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, 6304 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6298 and 6304 is 2.
GCF(6298,6304) = 2
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 6304
2 | 6304 |
2 | 3152 |
2 | 1576 |
2 | 788 |
2 | 394 |
197 | 197 |
1 |
Prime factors of 6304 are 2,197. Prime factorization of 6304 in exponential form is:
6304 = 25×1971
∴ So by taking common prime factors GCF of 6298 and 6304 is 2
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 6304
List of positive integer factors of 6304 that divides 6304 without a remainder.
1,2,4,8,16,32,197,394,788,1576,3152,6304
Greatest Common Factor
We found the factors and prime factorization of 6298 and 6304. The biggest common factor number is the GCF number.
So the greatest common factor 6298 and 6304 is 2.
Also check out the Least Common Multiple of 6298 and 6304
(i) The GCF of 6298 and 6304 is associative
GCF of 6298 and 6304 = GCF of 6304 and 6298
1. What is the GCF of 6298 and 6304?
Answer: GCF of 6298 and 6304 is 2.
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 6304?
Answer: Factors of 6304 are 1, 2, 4, 8, 16, 32, 197, 394, 788, 1576, 3152, 6304. There are 12 integers that are factors of 6304. The greatest factor of 6304 is 6304.
4. How to Find the GCF of 6298 and 6304?
Answer:
Greatest Common Factor of 6298 and 6304 = 2
Step 1: Find the prime factorization of 6298
6298 = 2 x 47 x 67
Step 2: Find the prime factorization of 6304
6304 = 2 x 2 x 2 x 2 x 2 x 197
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 6298 and 6304 is 2