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 6045, 6046 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6045 and 6046 is 1.
GCF(6045,6046) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6045
3 | 6045 |
5 | 2015 |
13 | 403 |
31 | 31 |
1 |
Prime factors of 6045 are 3,5,13,31. Prime factorization of 6045 in exponential form is:
6045 = 31×51×131×311
Prime Factorization of 6046
2 | 6046 |
3023 | 3023 |
1 |
Prime factors of 6046 are 2,3023. Prime factorization of 6046 in exponential form is:
6046 = 21×30231
∴ So by taking common prime factors GCF of 6045 and 6046 is 1
Factors of 6045
List of positive integer factors of 6045 that divides 6045 without a remainder.
1,3,5,13,15,31,39,65,93,155,195,403,465,1209,2015,6045
Factors of 6046
List of positive integer factors of 6046 that divides 6046 without a remainder.
1,2,3023,6046
Greatest Common Factor
We found the factors and prime factorization of 6045 and 6046. The biggest common factor number is the GCF number.
So the greatest common factor 6045 and 6046 is 1.
Also check out the Least Common Multiple of 6045 and 6046
(i) The GCF of 6045 and 6046 is associative
GCF of 6045 and 6046 = GCF of 6046 and 6045
1. What is the GCF of 6045 and 6046?
Answer: GCF of 6045 and 6046 is 1.
2. What are the Factors of 6045?
Answer: Factors of 6045 are 1, 3, 5, 13, 15, 31, 39, 65, 93, 155, 195, 403, 465, 1209, 2015, 6045. There are 16 integers that are factors of 6045. The greatest factor of 6045 is 6045.
3. What are the Factors of 6046?
Answer: Factors of 6046 are 1, 2, 3023, 6046. There are 4 integers that are factors of 6046. The greatest factor of 6046 is 6046.
4. How to Find the GCF of 6045 and 6046?
Answer:
Greatest Common Factor of 6045 and 6046 = 1
Step 1: Find the prime factorization of 6045
6045 = 3 x 5 x 13 x 31
Step 2: Find the prime factorization of 6046
6046 = 2 x 3023
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 6045 and 6046 is 1