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 6102, 6104 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6102 and 6104 is 2.
GCF(6102,6104) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6102
2 | 6102 |
3 | 3051 |
3 | 1017 |
3 | 339 |
113 | 113 |
1 |
Prime factors of 6102 are 2,3,113. Prime factorization of 6102 in exponential form is:
6102 = 21×33×1131
Prime Factorization of 6104
2 | 6104 |
2 | 3052 |
2 | 1526 |
7 | 763 |
109 | 109 |
1 |
Prime factors of 6104 are 2,7,109. Prime factorization of 6104 in exponential form is:
6104 = 23×71×1091
∴ So by taking common prime factors GCF of 6102 and 6104 is 2
Factors of 6102
List of positive integer factors of 6102 that divides 6102 without a remainder.
1,2,3,6,9,18,27,54,113,226,339,678,1017,2034,3051,6102
Factors of 6104
List of positive integer factors of 6104 that divides 6104 without a remainder.
1,2,4,7,8,14,28,56,109,218,436,763,872,1526,3052,6104
Greatest Common Factor
We found the factors and prime factorization of 6102 and 6104. The biggest common factor number is the GCF number.
So the greatest common factor 6102 and 6104 is 2.
Also check out the Least Common Multiple of 6102 and 6104
(i) The GCF of 6102 and 6104 is associative
GCF of 6102 and 6104 = GCF of 6104 and 6102
1. What is the GCF of 6102 and 6104?
Answer: GCF of 6102 and 6104 is 2.
2. What are the Factors of 6102?
Answer: Factors of 6102 are 1, 2, 3, 6, 9, 18, 27, 54, 113, 226, 339, 678, 1017, 2034, 3051, 6102. There are 16 integers that are factors of 6102. The greatest factor of 6102 is 6102.
3. What are the Factors of 6104?
Answer: Factors of 6104 are 1, 2, 4, 7, 8, 14, 28, 56, 109, 218, 436, 763, 872, 1526, 3052, 6104. There are 16 integers that are factors of 6104. The greatest factor of 6104 is 6104.
4. How to Find the GCF of 6102 and 6104?
Answer:
Greatest Common Factor of 6102 and 6104 = 2
Step 1: Find the prime factorization of 6102
6102 = 2 x 3 x 3 x 3 x 113
Step 2: Find the prime factorization of 6104
6104 = 2 x 2 x 2 x 7 x 109
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 6102 and 6104 is 2